/* ***** BEGIN LICENSE BLOCK *****
    Source last modified: $Id: trigtabs.c,v 1.1 2005/02/26 01:47:35 jrecker Exp $

    Portions Copyright (c) 1995-2005 RealNetworks, Inc. All Rights Reserved.

    The contents of this file, and the files included with this file,
    are subject to the current version of the RealNetworks Public
    Source License (the "RPSL") available at
    http://www.helixcommunity.org/content/rpsl unless you have licensed
    the file under the current version of the RealNetworks Community
    Source License (the "RCSL") available at
    http://www.helixcommunity.org/content/rcsl, in which case the RCSL
    will apply. You may also obtain the license terms directly from
    RealNetworks.  You may not use this file except in compliance with
    the RPSL or, if you have a valid RCSL with RealNetworks applicable
    to this file, the RCSL.  Please see the applicable RPSL or RCSL for
    the rights, obligations and limitations governing use of the
    contents of the file.

    This file is part of the Helix DNA Technology. RealNetworks is the
    developer of the Original Code and owns the copyrights in the
    portions it created.

    This file, and the files included with this file, is distributed
    and made available on an 'AS IS' basis, WITHOUT WARRANTY OF ANY
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    ALL SUCH WARRANTIES, INCLUDING WITHOUT LIMITATION, ANY WARRANTIES
    OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, QUIET
    ENJOYMENT OR NON-INFRINGEMENT.

    Technology Compatibility Kit Test Suite(s) Location:
      http://www.helixcommunity.org/content/tck

    Contributor(s):

 * ***** END LICENSE BLOCK ***** */

/**************************************************************************************
    Fixed-point HE-AAC decoder
    Jon Recker (jrecker@real.com), Ken Cooke (kenc@real.com)
    February 2005

    trigtabs.c - tables of sin, cos, etc. for IMDCT
 **************************************************************************************/

#include "coder.h"

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wnarrowing"

#if defined(PICO_RP2040) || defined(PICO_RP2350)
#define DPROGMEM __attribute__(( section(".time_critical.data") ))
#else
#define DPROGMEM PROGMEM
#endif

const int cos4sin4tabOffset[NUM_IMDCT_SIZES] DPROGMEM = {0, 128};

/*  PreMultiply() tables
    format = Q30 * 2^[-7, -10] for nmdct = [128, 1024]
    reordered for sequential access

    invM = -1.0 / nmdct;
    for (i = 0; i < nmdct/4; i++) {
     angle = (i + 0.25) * M_PI / nmdct;
     x = invM * (cos(angle) + sin(angle));
     x = invM * sin(angle);

     angle = (nmdct/2 - 1 - i + 0.25) * M_PI / nmdct;
     x = invM * (cos(angle) + sin(angle));
     x = invM * sin(angle);
    }
*/
const int cos4sin4tab[128 + 1024] DPROGMEM = {
    /* 128 - format = Q30 * 2^-7 */
    0xbf9bc731, 0xff9b783c, 0xbed5332c, 0xc002c697, 0xbe112251, 0xfe096c8d, 0xbd4f9c30, 0xc00f1c4a,
    0xbc90a83f, 0xfc77ae5e, 0xbbd44dd9, 0xc0254e27, 0xbb1a9443, 0xfae67ba2, 0xba6382a6, 0xc04558c0,
    0xb9af200f, 0xf9561237, 0xb8fd7373, 0xc06f3726, 0xb84e83ac, 0xf7c6afdc, 0xb7a25779, 0xc0a2e2e3,
    0xb6f8f57c, 0xf6389228, 0xb652643e, 0xc0e05401, 0xb5aeaa2a, 0xf4abf67e, 0xb50dcd90, 0xc1278104,
    0xb46fd4a4, 0xf3211a07, 0xb3d4c57c, 0xc1785ef4, 0xb33ca614, 0xf19839a6, 0xb2a77c49, 0xc1d2e158,
    0xb2154dda, 0xf01191f3, 0xb186206b, 0xc236fa3b, 0xb0f9f981, 0xee8d5f29, 0xb070de82, 0xc2a49a2e,
    0xafead4b9, 0xed0bdd25, 0xaf67e14f, 0xc31bb049, 0xaee80952, 0xeb8d475b, 0xae6b51ae, 0xc39c2a2f,
    0xadf1bf34, 0xea11d8c8, 0xad7b5692, 0xc425f410, 0xad081c5a, 0xe899cbf1, 0xac9814fd, 0xc4b8f8ad,
    0xac2b44cc, 0xe7255ad1, 0xabc1aff9, 0xc555215a, 0xab5b5a96, 0xe5b4bed8, 0xaaf84896, 0xc5fa5603,
    0xaa987dca, 0xe44830dd, 0xaa3bfde3, 0xc6a87d2d, 0xa9e2cc73, 0xe2dfe917, 0xa98cece9, 0xc75f7bfe,
    0xa93a6296, 0xe17c1f15, 0xa8eb30a7, 0xc81f363d, 0xa89f5a2b, 0xe01d09b4, 0xa856e20e, 0xc8e78e5b,
    0xa811cb1b, 0xdec2df18, 0xa7d017fc, 0xc9b86572, 0xa791cb39, 0xdd6dd4a2, 0xa756e73a, 0xca919b4e,
    0xa71f6e43, 0xdc1e1ee9, 0xa6eb6279, 0xcb730e70, 0xa6bac5dc, 0xdad3f1b1, 0xa68d9a4c, 0xcc5c9c14,
    0xa663e188, 0xd98f7fe6, 0xa63d9d2b, 0xcd4e2037, 0xa61aceaf, 0xd850fb8e, 0xa5fb776b, 0xce47759a,
    0xa5df9894, 0xd71895c9, 0xa5c7333e, 0xcf4875ca, 0xa5b2485a, 0xd5e67ec1, 0xa5a0d8b5, 0xd050f926,
    0xa592e4fd, 0xd4bae5ab, 0xa5886dba, 0xd160d6e5, 0xa5817354, 0xd395f8ba, 0xa57df60f, 0xd277e518,
    /* 1024 - format = Q30 * 2^-10 */
    0xbff3703e, 0xfff36f02, 0xbfda5824, 0xc0000b1a, 0xbfc149ed, 0xffc12b16, 0xbfa845a0, 0xc0003c74,
    0xbf8f4b3e, 0xff8ee750, 0xbf765acc, 0xc0009547, 0xbf5d744e, 0xff5ca3d0, 0xbf4497c8, 0xc0011594,
    0xbf2bc53d, 0xff2a60b4, 0xbf12fcb2, 0xc001bd5c, 0xbefa3e2a, 0xfef81e1d, 0xbee189a8, 0xc0028c9c,
    0xbec8df32, 0xfec5dc28, 0xbeb03eca, 0xc0038356, 0xbe97a875, 0xfe939af5, 0xbe7f1c36, 0xc004a188,
    0xbe669a10, 0xfe615aa3, 0xbe4e2209, 0xc005e731, 0xbe35b423, 0xfe2f1b50, 0xbe1d5062, 0xc0075452,
    0xbe04f6cb, 0xfdfcdd1d, 0xbdeca760, 0xc008e8e8, 0xbdd46225, 0xfdcaa027, 0xbdbc2720, 0xc00aa4f3,
    0xbda3f652, 0xfd98648d, 0xbd8bcfbf, 0xc00c8872, 0xbd73b36d, 0xfd662a70, 0xbd5ba15d, 0xc00e9364,
    0xbd439995, 0xfd33f1ed, 0xbd2b9c17, 0xc010c5c7, 0xbd13a8e7, 0xfd01bb24, 0xbcfbc00a, 0xc0131f9b,
    0xbce3e182, 0xfccf8634, 0xbccc0d53, 0xc015a0dd, 0xbcb44382, 0xfc9d533b, 0xbc9c8411, 0xc018498c,
    0xbc84cf05, 0xfc6b2259, 0xbc6d2461, 0xc01b19a7, 0xbc558428, 0xfc38f3ac, 0xbc3dee5f, 0xc01e112b,
    0xbc266309, 0xfc06c754, 0xbc0ee22a, 0xc0213018, 0xbbf76bc4, 0xfbd49d70, 0xbbdfffdd, 0xc024766a,
    0xbbc89e77, 0xfba2761e, 0xbbb14796, 0xc027e421, 0xbb99fb3e, 0xfb70517d, 0xbb82b972, 0xc02b7939,
    0xbb6b8235, 0xfb3e2fac, 0xbb54558d, 0xc02f35b1, 0xbb3d337b, 0xfb0c10cb, 0xbb261c04, 0xc0331986,
    0xbb0f0f2b, 0xfad9f4f8, 0xbaf80cf4, 0xc03724b6, 0xbae11561, 0xfaa7dc52, 0xbaca2878, 0xc03b573f,
    0xbab3463b, 0xfa75c6f8, 0xba9c6eae, 0xc03fb11d, 0xba85a1d4, 0xfa43b508, 0xba6edfb1, 0xc044324f,
    0xba582849, 0xfa11a6a3, 0xba417b9e, 0xc048dad1, 0xba2ad9b5, 0xf9df9be6, 0xba144291, 0xc04daaa1,
    0xb9fdb635, 0xf9ad94f0, 0xb9e734a4, 0xc052a1bb, 0xb9d0bde4, 0xf97b91e1, 0xb9ba51f6, 0xc057c01d,
    0xb9a3f0de, 0xf94992d7, 0xb98d9aa0, 0xc05d05c3, 0xb9774f3f, 0xf91797f0, 0xb9610ebe, 0xc06272aa,
    0xb94ad922, 0xf8e5a14d, 0xb934ae6d, 0xc06806ce, 0xb91e8ea3, 0xf8b3af0c, 0xb90879c7, 0xc06dc22e,
    0xb8f26fdc, 0xf881c14b, 0xb8dc70e7, 0xc073a4c3, 0xb8c67cea, 0xf84fd829, 0xb8b093ea, 0xc079ae8c,
    0xb89ab5e8, 0xf81df3c5, 0xb884e2e9, 0xc07fdf85, 0xb86f1af0, 0xf7ec143e, 0xb8595e00, 0xc08637a9,
    0xb843ac1d, 0xf7ba39b3, 0xb82e0549, 0xc08cb6f5, 0xb818698a, 0xf7886442, 0xb802d8e0, 0xc0935d64,
    0xb7ed5351, 0xf756940a, 0xb7d7d8df, 0xc09a2af3, 0xb7c2698e, 0xf724c92a, 0xb7ad0561, 0xc0a11f9d,
    0xb797ac5b, 0xf6f303c0, 0xb7825e80, 0xc0a83b5e, 0xb76d1bd2, 0xf6c143ec, 0xb757e455, 0xc0af7e33,
    0xb742b80d, 0xf68f89cb, 0xb72d96fd, 0xc0b6e815, 0xb7188127, 0xf65dd57d, 0xb7037690, 0xc0be7901,
    0xb6ee773a, 0xf62c2721, 0xb6d98328, 0xc0c630f2, 0xb6c49a5e, 0xf5fa7ed4, 0xb6afbce0, 0xc0ce0fe3,
    0xb69aeab0, 0xf5c8dcb6, 0xb68623d1, 0xc0d615cf, 0xb6716847, 0xf59740e5, 0xb65cb815, 0xc0de42b2,
    0xb648133e, 0xf565ab80, 0xb63379c5, 0xc0e69686, 0xb61eebae, 0xf5341ca5, 0xb60a68fb, 0xc0ef1147,
    0xb5f5f1b1, 0xf5029473, 0xb5e185d1, 0xc0f7b2ee, 0xb5cd255f, 0xf4d11308, 0xb5b8d05f, 0xc1007b77,
    0xb5a486d2, 0xf49f9884, 0xb59048be, 0xc1096add, 0xb57c1624, 0xf46e2504, 0xb567ef08, 0xc1128119,
    0xb553d36c, 0xf43cb8a7, 0xb53fc355, 0xc11bbe26, 0xb52bbec4, 0xf40b538b, 0xb517c5be, 0xc12521ff,
    0xb503d845, 0xf3d9f5cf, 0xb4eff65c, 0xc12eac9d, 0xb4dc2007, 0xf3a89f92, 0xb4c85548, 0xc1385dfb,
    0xb4b49622, 0xf37750f2, 0xb4a0e299, 0xc1423613, 0xb48d3ab0, 0xf3460a0d, 0xb4799e69, 0xc14c34df,
    0xb4660dc8, 0xf314cb02, 0xb45288cf, 0xc1565a58, 0xb43f0f82, 0xf2e393ef, 0xb42ba1e4, 0xc160a678,
    0xb4183ff7, 0xf2b264f2, 0xb404e9bf, 0xc16b193a, 0xb3f19f3e, 0xf2813e2a, 0xb3de6078, 0xc175b296,
    0xb3cb2d70, 0xf2501fb5, 0xb3b80628, 0xc1807285, 0xb3a4eaa4, 0xf21f09b1, 0xb391dae6, 0xc18b5903,
    0xb37ed6f1, 0xf1edfc3d, 0xb36bdec9, 0xc1966606, 0xb358f26f, 0xf1bcf777, 0xb34611e8, 0xc1a1998a,
    0xb3333d36, 0xf18bfb7d, 0xb320745c, 0xc1acf386, 0xb30db75d, 0xf15b086d, 0xb2fb063b, 0xc1b873f5,
    0xb2e860fa, 0xf12a1e66, 0xb2d5c79d, 0xc1c41ace, 0xb2c33a26, 0xf0f93d86, 0xb2b0b898, 0xc1cfe80a,
    0xb29e42f6, 0xf0c865ea, 0xb28bd943, 0xc1dbdba3, 0xb2797b82, 0xf09797b2, 0xb26729b5, 0xc1e7f591,
    0xb254e3e0, 0xf066d2fa, 0xb242aa05, 0xc1f435cc, 0xb2307c27, 0xf03617e2, 0xb21e5a49, 0xc2009c4e,
    0xb20c446d, 0xf0056687, 0xb1fa3a97, 0xc20d290d, 0xb1e83cc9, 0xefd4bf08, 0xb1d64b06, 0xc219dc03,
    0xb1c46551, 0xefa42181, 0xb1b28bad, 0xc226b528, 0xb1a0be1b, 0xef738e12, 0xb18efca0, 0xc233b473,
    0xb17d473d, 0xef4304d8, 0xb16b9df6, 0xc240d9de, 0xb15a00cd, 0xef1285f2, 0xb1486fc5, 0xc24e255e,
    0xb136eae1, 0xeee2117c, 0xb1257223, 0xc25b96ee, 0xb114058e, 0xeeb1a796, 0xb102a524, 0xc2692e83,
    0xb0f150e9, 0xee81485c, 0xb0e008e0, 0xc276ec16, 0xb0cecd09, 0xee50f3ed, 0xb0bd9d6a, 0xc284cf9f,
    0xb0ac7a03, 0xee20aa67, 0xb09b62d8, 0xc292d914, 0xb08a57eb, 0xedf06be6, 0xb079593f, 0xc2a1086d,
    0xb06866d7, 0xedc0388a, 0xb05780b5, 0xc2af5da2, 0xb046a6db, 0xed901070, 0xb035d94e, 0xc2bdd8a9,
    0xb025180e, 0xed5ff3b5, 0xb014631e, 0xc2cc7979, 0xb003ba82, 0xed2fe277, 0xaff31e3b, 0xc2db400a,
    0xafe28e4d, 0xecffdcd4, 0xafd20ab9, 0xc2ea2c53, 0xafc19383, 0xeccfe2ea, 0xafb128ad, 0xc2f93e4a,
    0xafa0ca39, 0xec9ff4d6, 0xaf90782a, 0xc30875e5, 0xaf803283, 0xec7012b5, 0xaf6ff945, 0xc317d31c,
    0xaf5fcc74, 0xec403ca5, 0xaf4fac12, 0xc32755e5, 0xaf3f9822, 0xec1072c4, 0xaf2f90a5, 0xc336fe37,
    0xaf1f959f, 0xebe0b52f, 0xaf0fa712, 0xc346cc07, 0xaeffc500, 0xebb10404, 0xaeefef6c, 0xc356bf4d,
    0xaee02658, 0xeb815f60, 0xaed069c7, 0xc366d7fd, 0xaec0b9bb, 0xeb51c760, 0xaeb11636, 0xc377160f,
    0xaea17f3b, 0xeb223c22, 0xae91f4cd, 0xc3877978, 0xae8276ed, 0xeaf2bdc3, 0xae73059f, 0xc398022f,
    0xae63a0e3, 0xeac34c60, 0xae5448be, 0xc3a8b028, 0xae44fd31, 0xea93e817, 0xae35be3f, 0xc3b9835a,
    0xae268be9, 0xea649105, 0xae176633, 0xc3ca7bba, 0xae084d1f, 0xea354746, 0xadf940ae, 0xc3db993e,
    0xadea40e4, 0xea060af9, 0xaddb4dc2, 0xc3ecdbdc, 0xadcc674b, 0xe9d6dc3b, 0xadbd8d82, 0xc3fe4388,
    0xadaec067, 0xe9a7bb28, 0xad9fffff, 0xc40fd037, 0xad914c4b, 0xe978a7dd, 0xad82a54c, 0xc42181e0,
    0xad740b07, 0xe949a278, 0xad657d7c, 0xc4335877, 0xad56fcaf, 0xe91aab16, 0xad4888a0, 0xc44553f2,
    0xad3a2153, 0xe8ebc1d3, 0xad2bc6ca, 0xc4577444, 0xad1d7907, 0xe8bce6cd, 0xad0f380c, 0xc469b963,
    0xad0103db, 0xe88e1a20, 0xacf2dc77, 0xc47c2344, 0xace4c1e2, 0xe85f5be9, 0xacd6b41e, 0xc48eb1db,
    0xacc8b32c, 0xe830ac45, 0xacbabf10, 0xc4a1651c, 0xacacd7cb, 0xe8020b52, 0xac9efd60, 0xc4b43cfd,
    0xac912fd1, 0xe7d3792b, 0xac836f1f, 0xc4c73972, 0xac75bb4d, 0xe7a4f5ed, 0xac68145d, 0xc4da5a6f,
    0xac5a7a52, 0xe77681b6, 0xac4ced2c, 0xc4ed9fe7, 0xac3f6cef, 0xe7481ca1, 0xac31f99d, 0xc50109d0,
    0xac249336, 0xe719c6cb, 0xac1739bf, 0xc514981d, 0xac09ed38, 0xe6eb8052, 0xabfcada3, 0xc5284ac3,
    0xabef7b04, 0xe6bd4951, 0xabe2555b, 0xc53c21b4, 0xabd53caa, 0xe68f21e5, 0xabc830f5, 0xc5501ce5,
    0xabbb323c, 0xe6610a2a, 0xabae4082, 0xc5643c4a, 0xaba15bc9, 0xe633023e, 0xab948413, 0xc5787fd6,
    0xab87b962, 0xe6050a3b, 0xab7afbb7, 0xc58ce77c, 0xab6e4b15, 0xe5d72240, 0xab61a77d, 0xc5a17330,
    0xab5510f3, 0xe5a94a67, 0xab488776, 0xc5b622e6, 0xab3c0b0b, 0xe57b82cd, 0xab2f9bb1, 0xc5caf690,
    0xab23396c, 0xe54dcb8f, 0xab16e43d, 0xc5dfee22, 0xab0a9c27, 0xe52024c9, 0xaafe612a, 0xc5f5098f,
    0xaaf23349, 0xe4f28e96, 0xaae61286, 0xc60a48c9, 0xaad9fee3, 0xe4c50914, 0xaacdf861, 0xc61fabc4,
    0xaac1ff03, 0xe497945d, 0xaab612ca, 0xc6353273, 0xaaaa33b8, 0xe46a308f, 0xaa9e61cf, 0xc64adcc7,
    0xaa929d10, 0xe43cddc4, 0xaa86e57e, 0xc660aab5, 0xaa7b3b1b, 0xe40f9c1a, 0xaa6f9de7, 0xc6769c2e,
    0xaa640de6, 0xe3e26bac, 0xaa588b18, 0xc68cb124, 0xaa4d157f, 0xe3b54c95, 0xaa41ad1e, 0xc6a2e98b,
    0xaa3651f6, 0xe3883ef2, 0xaa2b0409, 0xc6b94554, 0xaa1fc358, 0xe35b42df, 0xaa148fe6, 0xc6cfc472,
    0xaa0969b3, 0xe32e5876, 0xa9fe50c2, 0xc6e666d7, 0xa9f34515, 0xe3017fd5, 0xa9e846ad, 0xc6fd2c75,
    0xa9dd558b, 0xe2d4b916, 0xa9d271b2, 0xc714153e, 0xa9c79b23, 0xe2a80456, 0xa9bcd1e0, 0xc72b2123,
    0xa9b215ea, 0xe27b61af, 0xa9a76744, 0xc7425016, 0xa99cc5ee, 0xe24ed13d, 0xa99231eb, 0xc759a20a,
    0xa987ab3c, 0xe222531c, 0xa97d31e3, 0xc77116f0, 0xa972c5e1, 0xe1f5e768, 0xa9686738, 0xc788aeb9,
    0xa95e15e9, 0xe1c98e3b, 0xa953d1f7, 0xc7a06957, 0xa9499b62, 0xe19d47b1, 0xa93f722c, 0xc7b846ba,
    0xa9355658, 0xe17113e5, 0xa92b47e5, 0xc7d046d6, 0xa92146d7, 0xe144f2f3, 0xa917532e, 0xc7e8699a,
    0xa90d6cec, 0xe118e4f6, 0xa9039413, 0xc800aef7, 0xa8f9c8a4, 0xe0ecea09, 0xa8f00aa0, 0xc81916df,
    0xa8e65a0a, 0xe0c10247, 0xa8dcb6e2, 0xc831a143, 0xa8d3212a, 0xe0952dcb, 0xa8c998e3, 0xc84a4e14,
    0xa8c01e10, 0xe0696cb0, 0xa8b6b0b1, 0xc8631d42, 0xa8ad50c8, 0xe03dbf11, 0xa8a3fe57, 0xc87c0ebd,
    0xa89ab95e, 0xe012250a, 0xa89181df, 0xc8952278, 0xa88857dc, 0xdfe69eb4, 0xa87f3b57, 0xc8ae5862,
    0xa8762c4f, 0xdfbb2c2c, 0xa86d2ac8, 0xc8c7b06b, 0xa86436c2, 0xdf8fcd8b, 0xa85b503e, 0xc8e12a84,
    0xa852773f, 0xdf6482ed, 0xa849abc4, 0xc8fac69e, 0xa840edd1, 0xdf394c6b, 0xa8383d66, 0xc91484a8,
    0xa82f9a84, 0xdf0e2a22, 0xa827052d, 0xc92e6492, 0xa81e7d62, 0xdee31c2b, 0xa8160324, 0xc948664d,
    0xa80d9675, 0xdeb822a1, 0xa8053756, 0xc96289c9, 0xa7fce5c9, 0xde8d3d9e, 0xa7f4a1ce, 0xc97ccef5,
    0xa7ec6b66, 0xde626d3e, 0xa7e44294, 0xc99735c2, 0xa7dc2759, 0xde37b199, 0xa7d419b4, 0xc9b1be1e,
    0xa7cc19a9, 0xde0d0acc, 0xa7c42738, 0xc9cc67fa, 0xa7bc4262, 0xdde278ef, 0xa7b46b29, 0xc9e73346,
    0xa7aca18e, 0xddb7fc1e, 0xa7a4e591, 0xca021fef, 0xa79d3735, 0xdd8d9472, 0xa795967a, 0xca1d2de7,
    0xa78e0361, 0xdd634206, 0xa7867dec, 0xca385d1d, 0xa77f061c, 0xdd3904f4, 0xa7779bf2, 0xca53ad7e,
    0xa7703f70, 0xdd0edd55, 0xa768f095, 0xca6f1efc, 0xa761af64, 0xdce4cb44, 0xa75a7bdd, 0xca8ab184,
    0xa7535602, 0xdcbacedb, 0xa74c3dd4, 0xcaa66506, 0xa7453353, 0xdc90e834, 0xa73e3681, 0xcac23971,
    0xa7374760, 0xdc671768, 0xa73065ef, 0xcade2eb3, 0xa7299231, 0xdc3d5c91, 0xa722cc25, 0xcafa44bc,
    0xa71c13ce, 0xdc13b7c9, 0xa715692c, 0xcb167b79, 0xa70ecc41, 0xdbea292b, 0xa7083d0d, 0xcb32d2da,
    0xa701bb91, 0xdbc0b0ce, 0xa6fb47ce, 0xcb4f4acd, 0xa6f4e1c6, 0xdb974ece, 0xa6ee8979, 0xcb6be341,
    0xa6e83ee8, 0xdb6e0342, 0xa6e20214, 0xcb889c23, 0xa6dbd2ff, 0xdb44ce46, 0xa6d5b1a9, 0xcba57563,
    0xa6cf9e13, 0xdb1baff2, 0xa6c9983e, 0xcbc26eee, 0xa6c3a02b, 0xdaf2a860, 0xa6bdb5da, 0xcbdf88b3,
    0xa6b7d94e, 0xdac9b7a9, 0xa6b20a86, 0xcbfcc29f, 0xa6ac4984, 0xdaa0dde7, 0xa6a69649, 0xcc1a1ca0,
    0xa6a0f0d5, 0xda781b31, 0xa69b5929, 0xcc3796a5, 0xa695cf46, 0xda4f6fa3, 0xa690532d, 0xcc55309b,
    0xa68ae4df, 0xda26db54, 0xa685845c, 0xcc72ea70, 0xa68031a6, 0xd9fe5e5e, 0xa67aecbd, 0xcc90c412,
    0xa675b5a3, 0xd9d5f8d9, 0xa6708c57, 0xccaebd6e, 0xa66b70db, 0xd9adaadf, 0xa6666330, 0xccccd671,
    0xa6616355, 0xd9857489, 0xa65c714d, 0xcceb0f0a, 0xa6578d18, 0xd95d55ef, 0xa652b6b6, 0xcd096725,
    0xa64dee28, 0xd9354f2a, 0xa6493370, 0xcd27deb0, 0xa644868d, 0xd90d6053, 0xa63fe781, 0xcd467599,
    0xa63b564c, 0xd8e58982, 0xa636d2ee, 0xcd652bcb, 0xa6325d6a, 0xd8bdcad0, 0xa62df5bf, 0xcd840134,
    0xa6299bed, 0xd8962456, 0xa6254ff7, 0xcda2f5c2, 0xa62111db, 0xd86e962b, 0xa61ce19c, 0xcdc20960,
    0xa618bf39, 0xd8472069, 0xa614aab3, 0xcde13bfd, 0xa610a40c, 0xd81fc328, 0xa60cab43, 0xce008d84,
    0xa608c058, 0xd7f87e7f, 0xa604e34e, 0xce1ffde2, 0xa6011424, 0xd7d15288, 0xa5fd52db, 0xce3f8d05,
    0xa5f99f73, 0xd7aa3f5a, 0xa5f5f9ed, 0xce5f3ad8, 0xa5f2624a, 0xd783450d, 0xa5eed88a, 0xce7f0748,
    0xa5eb5cae, 0xd75c63ba, 0xa5e7eeb6, 0xce9ef241, 0xa5e48ea3, 0xd7359b78, 0xa5e13c75, 0xcebefbb0,
    0xa5ddf82d, 0xd70eec60, 0xa5dac1cb, 0xcedf2380, 0xa5d79950, 0xd6e85689, 0xa5d47ebc, 0xceff699f,
    0xa5d17210, 0xd6c1da0b, 0xa5ce734d, 0xcf1fcdf8, 0xa5cb8272, 0xd69b76fe, 0xa5c89f80, 0xcf405077,
    0xa5c5ca77, 0xd6752d79, 0xa5c30359, 0xcf60f108, 0xa5c04a25, 0xd64efd94, 0xa5bd9edc, 0xcf81af97,
    0xa5bb017f, 0xd628e767, 0xa5b8720d, 0xcfa28c10, 0xa5b5f087, 0xd602eb0a, 0xa5b37cee, 0xcfc3865e,
    0xa5b11741, 0xd5dd0892, 0xa5aebf82, 0xcfe49e6d, 0xa5ac75b0, 0xd5b74019, 0xa5aa39cd, 0xd005d42a,
    0xa5a80bd7, 0xd59191b5, 0xa5a5ebd0, 0xd027277e, 0xa5a3d9b8, 0xd56bfd7d, 0xa5a1d590, 0xd0489856,
    0xa59fdf57, 0xd5468389, 0xa59df70e, 0xd06a269d, 0xa59c1cb5, 0xd52123f0, 0xa59a504c, 0xd08bd23f,
    0xa59891d4, 0xd4fbdec9, 0xa596e14e, 0xd0ad9b26, 0xa5953eb8, 0xd4d6b42b, 0xa593aa14, 0xd0cf813e,
    0xa5922362, 0xd4b1a42c, 0xa590aaa2, 0xd0f18472, 0xa58f3fd4, 0xd48caee4, 0xa58de2f8, 0xd113a4ad,
    0xa58c940f, 0xd467d469, 0xa58b5319, 0xd135e1d9, 0xa58a2016, 0xd44314d3, 0xa588fb06, 0xd1583be2,
    0xa587e3ea, 0xd41e7037, 0xa586dac1, 0xd17ab2b3, 0xa585df8c, 0xd3f9e6ad, 0xa584f24b, 0xd19d4636,
    0xa58412fe, 0xd3d5784a, 0xa58341a5, 0xd1bff656, 0xa5827e40, 0xd3b12526, 0xa581c8d0, 0xd1e2c2fd,
    0xa5812154, 0xd38ced57, 0xa58087cd, 0xd205ac17, 0xa57ffc3b, 0xd368d0f3, 0xa57f7e9d, 0xd228b18d,
    0xa57f0ef5, 0xd344d011, 0xa57ead41, 0xd24bd34a, 0xa57e5982, 0xd320eac6, 0xa57e13b8, 0xd26f1138,
    0xa57ddbe4, 0xd2fd2129, 0xa57db204, 0xd2926b41, 0xa57d961a, 0xd2d97350, 0xa57d8825, 0xd2b5e151,
};

/*  PostMultiply() tables
    format = Q30
    reordered for sequential access
    decimate (skip by 16 instead of 2) for small transform (128)

    for (i = 0; i <= (512/2); i++) {
     angle = i * M_PI / 1024;
     x = (cos(angle) + sin(angle));
     x = sin(angle);
    }
*/
const int cos1sin1tab[514] DPROGMEM = {
    /* format = Q30 */
    0x40000000, 0x00000000, 0x40323034, 0x003243f1, 0x406438cf, 0x006487c4, 0x409619b2, 0x0096cb58,
    0x40c7d2bd, 0x00c90e90, 0x40f963d3, 0x00fb514b, 0x412accd4, 0x012d936c, 0x415c0da3, 0x015fd4d2,
    0x418d2621, 0x0192155f, 0x41be162f, 0x01c454f5, 0x41eeddaf, 0x01f69373, 0x421f7c84, 0x0228d0bb,
    0x424ff28f, 0x025b0caf, 0x42803fb2, 0x028d472e, 0x42b063d0, 0x02bf801a, 0x42e05ecb, 0x02f1b755,
    0x43103085, 0x0323ecbe, 0x433fd8e1, 0x03562038, 0x436f57c1, 0x038851a2, 0x439ead09, 0x03ba80df,
    0x43cdd89a, 0x03ecadcf, 0x43fcda59, 0x041ed854, 0x442bb227, 0x0451004d, 0x445a5fe8, 0x0483259d,
    0x4488e37f, 0x04b54825, 0x44b73ccf, 0x04e767c5, 0x44e56bbd, 0x0519845e, 0x4513702a, 0x054b9dd3,
    0x454149fc, 0x057db403, 0x456ef916, 0x05afc6d0, 0x459c7d5a, 0x05e1d61b, 0x45c9d6af, 0x0613e1c5,
    0x45f704f7, 0x0645e9af, 0x46240816, 0x0677edbb, 0x4650dff1, 0x06a9edc9, 0x467d8c6d, 0x06dbe9bb,
    0x46aa0d6d, 0x070de172, 0x46d662d6, 0x073fd4cf, 0x47028c8d, 0x0771c3b3, 0x472e8a76, 0x07a3adff,
    0x475a5c77, 0x07d59396, 0x47860275, 0x08077457, 0x47b17c54, 0x08395024, 0x47dcc9f9, 0x086b26de,
    0x4807eb4b, 0x089cf867, 0x4832e02d, 0x08cec4a0, 0x485da887, 0x09008b6a, 0x4888443d, 0x09324ca7,
    0x48b2b335, 0x09640837, 0x48dcf556, 0x0995bdfd, 0x49070a84, 0x09c76dd8, 0x4930f2a6, 0x09f917ac,
    0x495aada2, 0x0a2abb59, 0x49843b5f, 0x0a5c58c0, 0x49ad9bc2, 0x0a8defc3, 0x49d6ceb3, 0x0abf8043,
    0x49ffd417, 0x0af10a22, 0x4a28abd6, 0x0b228d42, 0x4a5155d6, 0x0b540982, 0x4a79d1ff, 0x0b857ec7,
    0x4aa22036, 0x0bb6ecef, 0x4aca4065, 0x0be853de, 0x4af23270, 0x0c19b374, 0x4b19f641, 0x0c4b0b94,
    0x4b418bbe, 0x0c7c5c1e, 0x4b68f2cf, 0x0cada4f5, 0x4b902b5c, 0x0cdee5f9, 0x4bb7354d, 0x0d101f0e,
    0x4bde1089, 0x0d415013, 0x4c04bcf8, 0x0d7278eb, 0x4c2b3a84, 0x0da39978, 0x4c518913, 0x0dd4b19a,
    0x4c77a88e, 0x0e05c135, 0x4c9d98de, 0x0e36c82a, 0x4cc359ec, 0x0e67c65a, 0x4ce8eb9f, 0x0e98bba7,
    0x4d0e4de2, 0x0ec9a7f3, 0x4d33809c, 0x0efa8b20, 0x4d5883b7, 0x0f2b650f, 0x4d7d571c, 0x0f5c35a3,
    0x4da1fab5, 0x0f8cfcbe, 0x4dc66e6a, 0x0fbdba40, 0x4deab226, 0x0fee6e0d, 0x4e0ec5d1, 0x101f1807,
    0x4e32a956, 0x104fb80e, 0x4e565c9f, 0x10804e06, 0x4e79df95, 0x10b0d9d0, 0x4e9d3222, 0x10e15b4e,
    0x4ec05432, 0x1111d263, 0x4ee345ad, 0x11423ef0, 0x4f06067f, 0x1172a0d7, 0x4f289692, 0x11a2f7fc,
    0x4f4af5d1, 0x11d3443f, 0x4f6d2427, 0x12038584, 0x4f8f217e, 0x1233bbac, 0x4fb0edc1, 0x1263e699,
    0x4fd288dc, 0x1294062f, 0x4ff3f2bb, 0x12c41a4f, 0x50152b47, 0x12f422db, 0x5036326e, 0x13241fb6,
    0x50570819, 0x135410c3, 0x5077ac37, 0x1383f5e3, 0x50981eb1, 0x13b3cefa, 0x50b85f74, 0x13e39be9,
    0x50d86e6d, 0x14135c94, 0x50f84b87, 0x144310dd, 0x5117f6ae, 0x1472b8a5, 0x51376fd0, 0x14a253d1,
    0x5156b6d9, 0x14d1e242, 0x5175cbb5, 0x150163dc, 0x5194ae52, 0x1530d881, 0x51b35e9b, 0x15604013,
    0x51d1dc80, 0x158f9a76, 0x51f027eb, 0x15bee78c, 0x520e40cc, 0x15ee2738, 0x522c270f, 0x161d595d,
    0x5249daa2, 0x164c7ddd, 0x52675b72, 0x167b949d, 0x5284a96e, 0x16aa9d7e, 0x52a1c482, 0x16d99864,
    0x52beac9f, 0x17088531, 0x52db61b0, 0x173763c9, 0x52f7e3a6, 0x1766340f, 0x5314326d, 0x1794f5e6,
    0x53304df6, 0x17c3a931, 0x534c362d, 0x17f24dd3, 0x5367eb03, 0x1820e3b0, 0x53836c66, 0x184f6aab,
    0x539eba45, 0x187de2a7, 0x53b9d48f, 0x18ac4b87, 0x53d4bb34, 0x18daa52f, 0x53ef6e23, 0x1908ef82,
    0x5409ed4b, 0x19372a64, 0x5424389d, 0x196555b8, 0x543e5007, 0x19937161, 0x5458337a, 0x19c17d44,
    0x5471e2e6, 0x19ef7944, 0x548b5e3b, 0x1a1d6544, 0x54a4a56a, 0x1a4b4128, 0x54bdb862, 0x1a790cd4,
    0x54d69714, 0x1aa6c82b, 0x54ef4171, 0x1ad47312, 0x5507b76a, 0x1b020d6c, 0x551ff8ef, 0x1b2f971e,
    0x553805f2, 0x1b5d100a, 0x554fde64, 0x1b8a7815, 0x55678236, 0x1bb7cf23, 0x557ef15a, 0x1be51518,
    0x55962bc0, 0x1c1249d8, 0x55ad315b, 0x1c3f6d47, 0x55c4021d, 0x1c6c7f4a, 0x55da9df7, 0x1c997fc4,
    0x55f104dc, 0x1cc66e99, 0x560736bd, 0x1cf34baf, 0x561d338d, 0x1d2016e9, 0x5632fb3f, 0x1d4cd02c,
    0x56488dc5, 0x1d79775c, 0x565deb11, 0x1da60c5d, 0x56731317, 0x1dd28f15, 0x568805c9, 0x1dfeff67,
    0x569cc31b, 0x1e2b5d38, 0x56b14b00, 0x1e57a86d, 0x56c59d6a, 0x1e83e0eb, 0x56d9ba4e, 0x1eb00696,
    0x56eda1a0, 0x1edc1953, 0x57015352, 0x1f081907, 0x5714cf59, 0x1f340596, 0x572815a8, 0x1f5fdee6,
    0x573b2635, 0x1f8ba4dc, 0x574e00f2, 0x1fb7575c, 0x5760a5d5, 0x1fe2f64c, 0x577314d2, 0x200e8190,
    0x57854ddd, 0x2039f90f, 0x579750ec, 0x20655cac, 0x57a91df2, 0x2090ac4d, 0x57bab4e6, 0x20bbe7d8,
    0x57cc15bc, 0x20e70f32, 0x57dd406a, 0x21122240, 0x57ee34e5, 0x213d20e8, 0x57fef323, 0x21680b0f,
    0x580f7b19, 0x2192e09b, 0x581fccbc, 0x21bda171, 0x582fe804, 0x21e84d76, 0x583fcce6, 0x2212e492,
    0x584f7b58, 0x223d66a8, 0x585ef351, 0x2267d3a0, 0x586e34c7, 0x22922b5e, 0x587d3fb0, 0x22bc6dca,
    0x588c1404, 0x22e69ac8, 0x589ab1b9, 0x2310b23e, 0x58a918c6, 0x233ab414, 0x58b74923, 0x2364a02e,
    0x58c542c5, 0x238e7673, 0x58d305a6, 0x23b836ca, 0x58e091bd, 0x23e1e117, 0x58ede700, 0x240b7543,
    0x58fb0568, 0x2434f332, 0x5907eced, 0x245e5acc, 0x59149d87, 0x2487abf7, 0x5921172e, 0x24b0e699,
    0x592d59da, 0x24da0a9a, 0x59396584, 0x250317df, 0x59453a24, 0x252c0e4f, 0x5950d7b3, 0x2554edd1,
    0x595c3e2a, 0x257db64c, 0x59676d82, 0x25a667a7, 0x597265b4, 0x25cf01c8, 0x597d26b8, 0x25f78497,
    0x5987b08a, 0x261feffa, 0x59920321, 0x264843d9, 0x599c1e78, 0x2670801a, 0x59a60288, 0x2698a4a6,
    0x59afaf4c, 0x26c0b162, 0x59b924bc, 0x26e8a637, 0x59c262d5, 0x2710830c, 0x59cb698f, 0x273847c8,
    0x59d438e5, 0x275ff452, 0x59dcd0d3, 0x27878893, 0x59e53151, 0x27af0472, 0x59ed5a5c, 0x27d667d5,
    0x59f54bee, 0x27fdb2a7, 0x59fd0603, 0x2824e4cc, 0x5a048895, 0x284bfe2f, 0x5a0bd3a1, 0x2872feb6,
    0x5a12e720, 0x2899e64a, 0x5a19c310, 0x28c0b4d2, 0x5a20676c, 0x28e76a37, 0x5a26d42f, 0x290e0661,
    0x5a2d0957, 0x29348937, 0x5a3306de, 0x295af2a3, 0x5a38ccc2, 0x2981428c, 0x5a3e5afe, 0x29a778db,
    0x5a43b190, 0x29cd9578, 0x5a48d074, 0x29f3984c, 0x5a4db7a6, 0x2a19813f, 0x5a526725, 0x2a3f503a,
    0x5a56deec, 0x2a650525, 0x5a5b1efa, 0x2a8a9fea, 0x5a5f274b, 0x2ab02071, 0x5a62f7dd, 0x2ad586a3,
    0x5a6690ae, 0x2afad269, 0x5a69f1bb, 0x2b2003ac, 0x5a6d1b03, 0x2b451a55, 0x5a700c84, 0x2b6a164d,
    0x5a72c63b, 0x2b8ef77d, 0x5a754827, 0x2bb3bdce, 0x5a779246, 0x2bd8692b, 0x5a79a498, 0x2bfcf97c,
    0x5a7b7f1a, 0x2c216eaa, 0x5a7d21cc, 0x2c45c8a0, 0x5a7e8cac, 0x2c6a0746, 0x5a7fbfbb, 0x2c8e2a87,
    0x5a80baf6, 0x2cb2324c, 0x5a817e5d, 0x2cd61e7f, 0x5a8209f1, 0x2cf9ef09, 0x5a825db0, 0x2d1da3d5,
    0x5a82799a, 0x2d413ccd,
};

const int sinWindowOffset[NUM_IMDCT_SIZES] DPROGMEM = {0, 128};

/*  Synthesis window - SIN
    format = Q31 for nmdct = [128, 1024]
    reordered for sequential access

    for (i = 0; i < nmdct/2; i++) {
     angle = (i + 0.5) * M_PI / (2.0 * nmdct);
     x = sin(angle);

     angle = (nmdct - 1 - i + 0.5) * M_PI / (2.0 * nmdct);
     x = sin(angle);
    }
*/
const int sinWindow[128 + 1024] PROGMEM = {
    /* 128 - format = Q31 * 2^0 */
    0x00c90f88, 0x7fff6216, 0x025b26d7, 0x7ffa72d1, 0x03ed26e6, 0x7ff09478, 0x057f0035, 0x7fe1c76b,
    0x0710a345, 0x7fce0c3e, 0x08a2009a, 0x7fb563b3, 0x0a3308bd, 0x7f97cebd, 0x0bc3ac35, 0x7f754e80,
    0x0d53db92, 0x7f4de451, 0x0ee38766, 0x7f2191b4, 0x1072a048, 0x7ef05860, 0x120116d5, 0x7eba3a39,
    0x138edbb1, 0x7e7f3957, 0x151bdf86, 0x7e3f57ff, 0x16a81305, 0x7dfa98a8, 0x183366e9, 0x7db0fdf8,
    0x19bdcbf3, 0x7d628ac6, 0x1b4732ef, 0x7d0f4218, 0x1ccf8cb3, 0x7cb72724, 0x1e56ca1e, 0x7c5a3d50,
    0x1fdcdc1b, 0x7bf88830, 0x2161b3a0, 0x7b920b89, 0x22e541af, 0x7b26cb4f, 0x24677758, 0x7ab6cba4,
    0x25e845b6, 0x7a4210d8, 0x27679df4, 0x79c89f6e, 0x28e5714b, 0x794a7c12, 0x2a61b101, 0x78c7aba2,
    0x2bdc4e6f, 0x78403329, 0x2d553afc, 0x77b417df, 0x2ecc681e, 0x77235f2d, 0x3041c761, 0x768e0ea6,
    0x31b54a5e, 0x75f42c0b, 0x3326e2c3, 0x7555bd4c, 0x34968250, 0x74b2c884, 0x36041ad9, 0x740b53fb,
    0x376f9e46, 0x735f6626, 0x38d8fe93, 0x72af05a7, 0x3a402dd2, 0x71fa3949, 0x3ba51e29, 0x71410805,
    0x3d07c1d6, 0x708378ff, 0x3e680b2c, 0x6fc19385, 0x3fc5ec98, 0x6efb5f12, 0x4121589b, 0x6e30e34a,
    0x427a41d0, 0x6d6227fa, 0x43d09aed, 0x6c8f351c, 0x452456bd, 0x6bb812d1, 0x46756828, 0x6adcc964,
    0x47c3c22f, 0x69fd614a, 0x490f57ee, 0x6919e320, 0x4a581c9e, 0x683257ab, 0x4b9e0390, 0x6746c7d8,
    0x4ce10034, 0x66573cbb, 0x4e210617, 0x6563bf92, 0x4f5e08e3, 0x646c59bf, 0x5097fc5e, 0x637114cc,
    0x51ced46e, 0x6271fa69, 0x53028518, 0x616f146c, 0x5433027d, 0x60686ccf, 0x556040e2, 0x5f5e0db3,
    0x568a34a9, 0x5e50015d, 0x57b0d256, 0x5d3e5237, 0x58d40e8c, 0x5c290acc, 0x59f3de12, 0x5b1035cf,
    /* 1024 - format = Q31 * 2^0 */
    0x001921fb, 0x7ffffd88, 0x004b65ee, 0x7fffe9cb, 0x007da9d4, 0x7fffc251, 0x00afeda8, 0x7fff8719,
    0x00e23160, 0x7fff3824, 0x011474f6, 0x7ffed572, 0x0146b860, 0x7ffe5f03, 0x0178fb99, 0x7ffdd4d7,
    0x01ab3e97, 0x7ffd36ee, 0x01dd8154, 0x7ffc8549, 0x020fc3c6, 0x7ffbbfe6, 0x024205e8, 0x7ffae6c7,
    0x027447b0, 0x7ff9f9ec, 0x02a68917, 0x7ff8f954, 0x02d8ca16, 0x7ff7e500, 0x030b0aa4, 0x7ff6bcf0,
    0x033d4abb, 0x7ff58125, 0x036f8a51, 0x7ff4319d, 0x03a1c960, 0x7ff2ce5b, 0x03d407df, 0x7ff1575d,
    0x040645c7, 0x7fefcca4, 0x04388310, 0x7fee2e30, 0x046abfb3, 0x7fec7c02, 0x049cfba7, 0x7feab61a,
    0x04cf36e5, 0x7fe8dc78, 0x05017165, 0x7fe6ef1c, 0x0533ab20, 0x7fe4ee06, 0x0565e40d, 0x7fe2d938,
    0x05981c26, 0x7fe0b0b1, 0x05ca5361, 0x7fde7471, 0x05fc89b8, 0x7fdc247a, 0x062ebf22, 0x7fd9c0ca,
    0x0660f398, 0x7fd74964, 0x06932713, 0x7fd4be46, 0x06c5598a, 0x7fd21f72, 0x06f78af6, 0x7fcf6ce8,
    0x0729bb4e, 0x7fcca6a7, 0x075bea8c, 0x7fc9ccb2, 0x078e18a7, 0x7fc6df08, 0x07c04598, 0x7fc3dda9,
    0x07f27157, 0x7fc0c896, 0x08249bdd, 0x7fbd9fd0, 0x0856c520, 0x7fba6357, 0x0888ed1b, 0x7fb7132b,
    0x08bb13c5, 0x7fb3af4e, 0x08ed3916, 0x7fb037bf, 0x091f5d06, 0x7facac7f, 0x09517f8f, 0x7fa90d8e,
    0x0983a0a7, 0x7fa55aee, 0x09b5c048, 0x7fa1949e, 0x09e7de6a, 0x7f9dbaa0, 0x0a19fb04, 0x7f99ccf4,
    0x0a4c1610, 0x7f95cb9a, 0x0a7e2f85, 0x7f91b694, 0x0ab0475c, 0x7f8d8de1, 0x0ae25d8d, 0x7f895182,
    0x0b147211, 0x7f850179, 0x0b4684df, 0x7f809dc5, 0x0b7895f0, 0x7f7c2668, 0x0baaa53b, 0x7f779b62,
    0x0bdcb2bb, 0x7f72fcb4, 0x0c0ebe66, 0x7f6e4a5e, 0x0c40c835, 0x7f698461, 0x0c72d020, 0x7f64aabf,
    0x0ca4d620, 0x7f5fbd77, 0x0cd6da2d, 0x7f5abc8a, 0x0d08dc3f, 0x7f55a7fa, 0x0d3adc4e, 0x7f507fc7,
    0x0d6cda53, 0x7f4b43f2, 0x0d9ed646, 0x7f45f47b, 0x0dd0d01f, 0x7f409164, 0x0e02c7d7, 0x7f3b1aad,
    0x0e34bd66, 0x7f359057, 0x0e66b0c3, 0x7f2ff263, 0x0e98a1e9, 0x7f2a40d2, 0x0eca90ce, 0x7f247ba5,
    0x0efc7d6b, 0x7f1ea2dc, 0x0f2e67b8, 0x7f18b679, 0x0f604faf, 0x7f12b67c, 0x0f923546, 0x7f0ca2e7,
    0x0fc41876, 0x7f067bba, 0x0ff5f938, 0x7f0040f6, 0x1027d784, 0x7ef9f29d, 0x1059b352, 0x7ef390ae,
    0x108b8c9b, 0x7eed1b2c, 0x10bd6356, 0x7ee69217, 0x10ef377d, 0x7edff570, 0x11210907, 0x7ed94538,
    0x1152d7ed, 0x7ed28171, 0x1184a427, 0x7ecbaa1a, 0x11b66dad, 0x7ec4bf36, 0x11e83478, 0x7ebdc0c6,
    0x1219f880, 0x7eb6aeca, 0x124bb9be, 0x7eaf8943, 0x127d7829, 0x7ea85033, 0x12af33ba, 0x7ea1039b,
    0x12e0ec6a, 0x7e99a37c, 0x1312a230, 0x7e922fd6, 0x13445505, 0x7e8aa8ac, 0x137604e2, 0x7e830dff,
    0x13a7b1bf, 0x7e7b5fce, 0x13d95b93, 0x7e739e1d, 0x140b0258, 0x7e6bc8eb, 0x143ca605, 0x7e63e03b,
    0x146e4694, 0x7e5be40c, 0x149fe3fc, 0x7e53d462, 0x14d17e36, 0x7e4bb13c, 0x1503153a, 0x7e437a9c,
    0x1534a901, 0x7e3b3083, 0x15663982, 0x7e32d2f4, 0x1597c6b7, 0x7e2a61ed, 0x15c95097, 0x7e21dd73,
    0x15fad71b, 0x7e194584, 0x162c5a3b, 0x7e109a24, 0x165dd9f0, 0x7e07db52, 0x168f5632, 0x7dff0911,
    0x16c0cef9, 0x7df62362, 0x16f2443e, 0x7ded2a47, 0x1723b5f9, 0x7de41dc0, 0x17552422, 0x7ddafdce,
    0x17868eb3, 0x7dd1ca75, 0x17b7f5a3, 0x7dc883b4, 0x17e958ea, 0x7dbf298d, 0x181ab881, 0x7db5bc02,
    0x184c1461, 0x7dac3b15, 0x187d6c82, 0x7da2a6c6, 0x18aec0db, 0x7d98ff17, 0x18e01167, 0x7d8f4409,
    0x19115e1c, 0x7d85759f, 0x1942a6f3, 0x7d7b93da, 0x1973ebe6, 0x7d719eba, 0x19a52ceb, 0x7d679642,
    0x19d669fc, 0x7d5d7a74, 0x1a07a311, 0x7d534b50, 0x1a38d823, 0x7d4908d9, 0x1a6a0929, 0x7d3eb30f,
    0x1a9b361d, 0x7d3449f5, 0x1acc5ef6, 0x7d29cd8c, 0x1afd83ad, 0x7d1f3dd6, 0x1b2ea43a, 0x7d149ad5,
    0x1b5fc097, 0x7d09e489, 0x1b90d8bb, 0x7cff1af5, 0x1bc1ec9e, 0x7cf43e1a, 0x1bf2fc3a, 0x7ce94dfb,
    0x1c240786, 0x7cde4a98, 0x1c550e7c, 0x7cd333f3, 0x1c861113, 0x7cc80a0f, 0x1cb70f43, 0x7cbcccec,
    0x1ce80906, 0x7cb17c8d, 0x1d18fe54, 0x7ca618f3, 0x1d49ef26, 0x7c9aa221, 0x1d7adb73, 0x7c8f1817,
    0x1dabc334, 0x7c837ad8, 0x1ddca662, 0x7c77ca65, 0x1e0d84f5, 0x7c6c06c0, 0x1e3e5ee5, 0x7c602fec,
    0x1e6f342c, 0x7c5445e9, 0x1ea004c1, 0x7c4848ba, 0x1ed0d09d, 0x7c3c3860, 0x1f0197b8, 0x7c3014de,
    0x1f325a0b, 0x7c23de35, 0x1f63178f, 0x7c179467, 0x1f93d03c, 0x7c0b3777, 0x1fc4840a, 0x7bfec765,
    0x1ff532f2, 0x7bf24434, 0x2025dcec, 0x7be5ade6, 0x205681f1, 0x7bd9047c, 0x208721f9, 0x7bcc47fa,
    0x20b7bcfe, 0x7bbf7860, 0x20e852f6, 0x7bb295b0, 0x2118e3dc, 0x7ba59fee, 0x21496fa7, 0x7b989719,
    0x2179f64f, 0x7b8b7b36, 0x21aa77cf, 0x7b7e4c45, 0x21daf41d, 0x7b710a49, 0x220b6b32, 0x7b63b543,
    0x223bdd08, 0x7b564d36, 0x226c4996, 0x7b48d225, 0x229cb0d5, 0x7b3b4410, 0x22cd12bd, 0x7b2da2fa,
    0x22fd6f48, 0x7b1feee5, 0x232dc66d, 0x7b1227d3, 0x235e1826, 0x7b044dc7, 0x238e646a, 0x7af660c2,
    0x23beab33, 0x7ae860c7, 0x23eeec78, 0x7ada4dd8, 0x241f2833, 0x7acc27f7, 0x244f5e5c, 0x7abdef25,
    0x247f8eec, 0x7aafa367, 0x24afb9da, 0x7aa144bc, 0x24dfdf20, 0x7a92d329, 0x250ffeb7, 0x7a844eae,
    0x25401896, 0x7a75b74f, 0x25702cb7, 0x7a670d0d, 0x25a03b11, 0x7a584feb, 0x25d0439f, 0x7a497feb,
    0x26004657, 0x7a3a9d0f, 0x26304333, 0x7a2ba75a, 0x26603a2c, 0x7a1c9ece, 0x26902b39, 0x7a0d836d,
    0x26c01655, 0x79fe5539, 0x26effb76, 0x79ef1436, 0x271fda96, 0x79dfc064, 0x274fb3ae, 0x79d059c8,
    0x277f86b5, 0x79c0e062, 0x27af53a6, 0x79b15435, 0x27df1a77, 0x79a1b545, 0x280edb23, 0x79920392,
    0x283e95a1, 0x79823f20, 0x286e49ea, 0x797267f2, 0x289df7f8, 0x79627e08, 0x28cd9fc1, 0x79528167,
    0x28fd4140, 0x79427210, 0x292cdc6d, 0x79325006, 0x295c7140, 0x79221b4b, 0x298bffb2, 0x7911d3e2,
    0x29bb87bc, 0x790179cd, 0x29eb0957, 0x78f10d0f, 0x2a1a847b, 0x78e08dab, 0x2a49f920, 0x78cffba3,
    0x2a796740, 0x78bf56f9, 0x2aa8ced3, 0x78ae9fb0, 0x2ad82fd2, 0x789dd5cb, 0x2b078a36, 0x788cf94c,
    0x2b36ddf7, 0x787c0a36, 0x2b662b0e, 0x786b088c, 0x2b957173, 0x7859f44f, 0x2bc4b120, 0x7848cd83,
    0x2bf3ea0d, 0x7837942b, 0x2c231c33, 0x78264849, 0x2c52478a, 0x7814e9df, 0x2c816c0c, 0x780378f1,
    0x2cb089b1, 0x77f1f581, 0x2cdfa071, 0x77e05f91, 0x2d0eb046, 0x77ceb725, 0x2d3db928, 0x77bcfc3f,
    0x2d6cbb10, 0x77ab2ee2, 0x2d9bb5f6, 0x77994f11, 0x2dcaa9d5, 0x77875cce, 0x2df996a3, 0x7775581d,
    0x2e287c5a, 0x776340ff, 0x2e575af3, 0x77511778, 0x2e863267, 0x773edb8b, 0x2eb502ae, 0x772c8d3a,
    0x2ee3cbc1, 0x771a2c88, 0x2f128d99, 0x7707b979, 0x2f41482e, 0x76f5340e, 0x2f6ffb7a, 0x76e29c4b,
    0x2f9ea775, 0x76cff232, 0x2fcd4c19, 0x76bd35c7, 0x2ffbe95d, 0x76aa670d, 0x302a7f3a, 0x76978605,
    0x30590dab, 0x768492b4, 0x308794a6, 0x76718d1c, 0x30b61426, 0x765e7540, 0x30e48c22, 0x764b4b23,
    0x3112fc95, 0x76380ec8, 0x31416576, 0x7624c031, 0x316fc6be, 0x76115f63, 0x319e2067, 0x75fdec60,
    0x31cc7269, 0x75ea672a, 0x31fabcbd, 0x75d6cfc5, 0x3228ff5c, 0x75c32634, 0x32573a3f, 0x75af6a7b,
    0x32856d5e, 0x759b9c9b, 0x32b398b3, 0x7587bc98, 0x32e1bc36, 0x7573ca75, 0x330fd7e1, 0x755fc635,
    0x333debab, 0x754bafdc, 0x336bf78f, 0x7537876c, 0x3399fb85, 0x75234ce8, 0x33c7f785, 0x750f0054,
    0x33f5eb89, 0x74faa1b3, 0x3423d78a, 0x74e63108, 0x3451bb81, 0x74d1ae55, 0x347f9766, 0x74bd199f,
    0x34ad6b32, 0x74a872e8, 0x34db36df, 0x7493ba34, 0x3508fa66, 0x747eef85, 0x3536b5be, 0x746a12df,
    0x356468e2, 0x74552446, 0x359213c9, 0x744023bc, 0x35bfb66e, 0x742b1144, 0x35ed50c9, 0x7415ece2,
    0x361ae2d3, 0x7400b69a, 0x36486c86, 0x73eb6e6e, 0x3675edd9, 0x73d61461, 0x36a366c6, 0x73c0a878,
    0x36d0d746, 0x73ab2ab4, 0x36fe3f52, 0x73959b1b, 0x372b9ee3, 0x737ff9ae, 0x3758f5f2, 0x736a4671,
    0x37864477, 0x73548168, 0x37b38a6d, 0x733eaa96, 0x37e0c7cc, 0x7328c1ff, 0x380dfc8d, 0x7312c7a5,
    0x383b28a9, 0x72fcbb8c, 0x38684c19, 0x72e69db7, 0x389566d6, 0x72d06e2b, 0x38c278d9, 0x72ba2cea,
    0x38ef821c, 0x72a3d9f7, 0x391c8297, 0x728d7557, 0x39497a43, 0x7276ff0d, 0x39766919, 0x7260771b,
    0x39a34f13, 0x7249dd86, 0x39d02c2a, 0x72333251, 0x39fd0056, 0x721c7580, 0x3a29cb91, 0x7205a716,
    0x3a568dd4, 0x71eec716, 0x3a834717, 0x71d7d585, 0x3aaff755, 0x71c0d265, 0x3adc9e86, 0x71a9bdba,
    0x3b093ca3, 0x71929789, 0x3b35d1a5, 0x717b5fd3, 0x3b625d86, 0x7164169d, 0x3b8ee03e, 0x714cbbeb,
    0x3bbb59c7, 0x71354fc0, 0x3be7ca1a, 0x711dd220, 0x3c143130, 0x7106430e, 0x3c408f03, 0x70eea28e,
    0x3c6ce38a, 0x70d6f0a4, 0x3c992ec0, 0x70bf2d53, 0x3cc5709e, 0x70a7589f, 0x3cf1a91c, 0x708f728b,
    0x3d1dd835, 0x70777b1c, 0x3d49fde1, 0x705f7255, 0x3d761a19, 0x70475839, 0x3da22cd7, 0x702f2ccd,
    0x3dce3614, 0x7016f014, 0x3dfa35c8, 0x6ffea212, 0x3e262bee, 0x6fe642ca, 0x3e52187f, 0x6fcdd241,
    0x3e7dfb73, 0x6fb5507a, 0x3ea9d4c3, 0x6f9cbd79, 0x3ed5a46b, 0x6f841942, 0x3f016a61, 0x6f6b63d8,
    0x3f2d26a0, 0x6f529d40, 0x3f58d921, 0x6f39c57d, 0x3f8481dd, 0x6f20dc92, 0x3fb020ce, 0x6f07e285,
    0x3fdbb5ec, 0x6eeed758, 0x40074132, 0x6ed5bb10, 0x4032c297, 0x6ebc8db0, 0x405e3a16, 0x6ea34f3d,
    0x4089a7a8, 0x6e89ffb9, 0x40b50b46, 0x6e709f2a, 0x40e064ea, 0x6e572d93, 0x410bb48c, 0x6e3daaf8,
    0x4136fa27, 0x6e24175c, 0x416235b2, 0x6e0a72c5, 0x418d6729, 0x6df0bd35, 0x41b88e84, 0x6dd6f6b1,
    0x41e3abbc, 0x6dbd1f3c, 0x420ebecb, 0x6da336dc, 0x4239c7aa, 0x6d893d93, 0x4264c653, 0x6d6f3365,
    0x428fbabe, 0x6d551858, 0x42baa4e6, 0x6d3aec6e, 0x42e584c3, 0x6d20afac, 0x43105a50, 0x6d066215,
    0x433b2585, 0x6cec03af, 0x4365e65b, 0x6cd1947c, 0x43909ccd, 0x6cb71482, 0x43bb48d4, 0x6c9c83c3,
    0x43e5ea68, 0x6c81e245, 0x44108184, 0x6c67300b, 0x443b0e21, 0x6c4c6d1a, 0x44659039, 0x6c319975,
    0x449007c4, 0x6c16b521, 0x44ba74bd, 0x6bfbc021, 0x44e4d71c, 0x6be0ba7b, 0x450f2edb, 0x6bc5a431,
    0x45397bf4, 0x6baa7d49, 0x4563be60, 0x6b8f45c7, 0x458df619, 0x6b73fdae, 0x45b82318, 0x6b58a503,
    0x45e24556, 0x6b3d3bcb, 0x460c5cce, 0x6b21c208, 0x46366978, 0x6b0637c1, 0x46606b4e, 0x6aea9cf8,
    0x468a624a, 0x6acef1b2, 0x46b44e65, 0x6ab335f4, 0x46de2f99, 0x6a9769c1, 0x470805df, 0x6a7b8d1e,
    0x4731d131, 0x6a5fa010, 0x475b9188, 0x6a43a29a, 0x478546de, 0x6a2794c1, 0x47aef12c, 0x6a0b7689,
    0x47d8906d, 0x69ef47f6, 0x48022499, 0x69d3090e, 0x482badab, 0x69b6b9d3, 0x48552b9b, 0x699a5a4c,
    0x487e9e64, 0x697dea7b, 0x48a805ff, 0x69616a65, 0x48d16265, 0x6944da10, 0x48fab391, 0x6928397e,
    0x4923f97b, 0x690b88b5, 0x494d341e, 0x68eec7b9, 0x49766373, 0x68d1f68f, 0x499f8774, 0x68b5153a,
    0x49c8a01b, 0x689823bf, 0x49f1ad61, 0x687b2224, 0x4a1aaf3f, 0x685e106c, 0x4a43a5b0, 0x6840ee9b,
    0x4a6c90ad, 0x6823bcb7, 0x4a957030, 0x68067ac3, 0x4abe4433, 0x67e928c5, 0x4ae70caf, 0x67cbc6c0,
    0x4b0fc99d, 0x67ae54ba, 0x4b387af9, 0x6790d2b6, 0x4b6120bb, 0x677340ba, 0x4b89badd, 0x67559eca,
    0x4bb24958, 0x6737ecea, 0x4bdacc28, 0x671a2b20, 0x4c034345, 0x66fc596f, 0x4c2baea9, 0x66de77dc,
    0x4c540e4e, 0x66c0866d, 0x4c7c622d, 0x66a28524, 0x4ca4aa41, 0x66847408, 0x4ccce684, 0x6666531d,
    0x4cf516ee, 0x66482267, 0x4d1d3b7a, 0x6629e1ec, 0x4d455422, 0x660b91af, 0x4d6d60df, 0x65ed31b5,
    0x4d9561ac, 0x65cec204, 0x4dbd5682, 0x65b0429f, 0x4de53f5a, 0x6591b38c, 0x4e0d1c30, 0x657314cf,
    0x4e34ecfc, 0x6554666d, 0x4e5cb1b9, 0x6535a86b, 0x4e846a60, 0x6516dacd, 0x4eac16eb, 0x64f7fd98,
    0x4ed3b755, 0x64d910d1, 0x4efb4b96, 0x64ba147d, 0x4f22d3aa, 0x649b08a0, 0x4f4a4f89, 0x647bed3f,
    0x4f71bf2e, 0x645cc260, 0x4f992293, 0x643d8806, 0x4fc079b1, 0x641e3e38, 0x4fe7c483, 0x63fee4f8,
    0x500f0302, 0x63df7c4d, 0x50363529, 0x63c0043b, 0x505d5af1, 0x63a07cc7, 0x50847454, 0x6380e5f6,
    0x50ab814d, 0x63613fcd, 0x50d281d5, 0x63418a50, 0x50f975e6, 0x6321c585, 0x51205d7b, 0x6301f171,
    0x5147388c, 0x62e20e17, 0x516e0715, 0x62c21b7e, 0x5194c910, 0x62a219aa, 0x51bb7e75, 0x628208a1,
    0x51e22740, 0x6261e866, 0x5208c36a, 0x6241b8ff, 0x522f52ee, 0x62217a72, 0x5255d5c5, 0x62012cc2,
    0x527c4bea, 0x61e0cff5, 0x52a2b556, 0x61c06410, 0x52c91204, 0x619fe918, 0x52ef61ee, 0x617f5f12,
    0x5315a50e, 0x615ec603, 0x533bdb5d, 0x613e1df0, 0x536204d7, 0x611d66de, 0x53882175, 0x60fca0d2,
    0x53ae3131, 0x60dbcbd1, 0x53d43406, 0x60bae7e1, 0x53fa29ed, 0x6099f505, 0x542012e1, 0x6078f344,
    0x5445eedb, 0x6057e2a2, 0x546bbdd7, 0x6036c325, 0x54917fce, 0x601594d1, 0x54b734ba, 0x5ff457ad,
    0x54dcdc96, 0x5fd30bbc, 0x5502775c, 0x5fb1b104, 0x55280505, 0x5f90478a, 0x554d858d, 0x5f6ecf53,
    0x5572f8ed, 0x5f4d4865, 0x55985f20, 0x5f2bb2c5, 0x55bdb81f, 0x5f0a0e77, 0x55e303e6, 0x5ee85b82,
    0x5608426e, 0x5ec699e9, 0x562d73b2, 0x5ea4c9b3, 0x565297ab, 0x5e82eae5, 0x5677ae54, 0x5e60fd84,
    0x569cb7a8, 0x5e3f0194, 0x56c1b3a1, 0x5e1cf71c, 0x56e6a239, 0x5dfade20, 0x570b8369, 0x5dd8b6a7,
    0x5730572e, 0x5db680b4, 0x57551d80, 0x5d943c4e, 0x5779d65b, 0x5d71e979, 0x579e81b8, 0x5d4f883b,
    0x57c31f92, 0x5d2d189a, 0x57e7afe4, 0x5d0a9a9a, 0x580c32a7, 0x5ce80e41, 0x5830a7d6, 0x5cc57394,
    0x58550f6c, 0x5ca2ca99, 0x58796962, 0x5c801354, 0x589db5b3, 0x5c5d4dcc, 0x58c1f45b, 0x5c3a7a05,
    0x58e62552, 0x5c179806, 0x590a4893, 0x5bf4a7d2, 0x592e5e19, 0x5bd1a971, 0x595265df, 0x5bae9ce7,
    0x59765fde, 0x5b8b8239, 0x599a4c12, 0x5b68596d, 0x59be2a74, 0x5b452288, 0x59e1faff, 0x5b21dd90,
    0x5a05bdae, 0x5afe8a8b, 0x5a29727b, 0x5adb297d, 0x5a4d1960, 0x5ab7ba6c, 0x5a70b258, 0x5a943d5e,
};

const int kbdWindowOffset[NUM_IMDCT_SIZES] DPROGMEM = {0, 128};

/*  Synthesis window - KBD
    format = Q31 for nmdct = [128, 1024]
    reordered for sequential access

    aacScaleFact = -sqrt(1.0 / (2.0 * nmdct));
    for (i = 0; i < nmdct/2; i++) {
     x = kbdWindowRef[i] * aacScaleFact;
     x = kbdWindowRef[nmdct - 1 - i] * aacScaleFact;
    }
    Note: see below for code to generate kbdWindowRef[]
*/
const int kbdWindow[128 + 1024] PROGMEM = {
    /* 128 - format = Q31 * 2^0 */
    0x00016f63, 0x7ffffffe, 0x0003e382, 0x7ffffff1, 0x00078f64, 0x7fffffc7, 0x000cc323, 0x7fffff5d,
    0x0013d9ed, 0x7ffffe76, 0x001d3a9d, 0x7ffffcaa, 0x0029581f, 0x7ffff953, 0x0038b1bd, 0x7ffff372,
    0x004bd34d, 0x7fffe98b, 0x00635538, 0x7fffd975, 0x007fdc64, 0x7fffc024, 0x00a219f1, 0x7fff995b,
    0x00cacad0, 0x7fff5f5b, 0x00fab72d, 0x7fff0a75, 0x0132b1af, 0x7ffe9091, 0x01739689, 0x7ffde49e,
    0x01be4a63, 0x7ffcf5ef, 0x0213b910, 0x7ffbaf84, 0x0274d41e, 0x7ff9f73a, 0x02e2913a, 0x7ff7acf1,
    0x035de86c, 0x7ff4a99a, 0x03e7d233, 0x7ff0be3d, 0x0481457c, 0x7febb2f1, 0x052b357c, 0x7fe545d4,
    0x05e68f77, 0x7fdd2a02, 0x06b4386f, 0x7fd30695, 0x07950acb, 0x7fc675b4, 0x0889d3ef, 0x7fb703be,
    0x099351e0, 0x7fa42e89, 0x0ab230e0, 0x7f8d64d8, 0x0be70923, 0x7f7205f8, 0x0d325c93, 0x7f516195,
    0x0e9494ae, 0x7f2ab7d0, 0x100e0085, 0x7efd3997, 0x119ed2ef, 0x7ec8094a, 0x134720d8, 0x7e8a3ba7,
    0x1506dfdc, 0x7e42d906, 0x16dde50b, 0x7df0dee4, 0x18cbe3f7, 0x7d9341b4, 0x1ad06e07, 0x7d28ef02,
    0x1ceaf215, 0x7cb0cfcc, 0x1f1abc4f, 0x7c29cb20, 0x215ef677, 0x7b92c8eb, 0x23b6a867, 0x7aeab4ec,
    0x2620b8ec, 0x7a3081d0, 0x289beef5, 0x79632c5a, 0x2b26f30b, 0x7881be95, 0x2dc0511f, 0x778b5304,
    0x30667aa2, 0x767f17c0, 0x3317c8dd, 0x755c5178, 0x35d27f98, 0x74225e50, 0x3894cff3, 0x72d0b887,
    0x3b5cdb7b, 0x7166f8e7, 0x3e28b770, 0x6fe4d8e8, 0x40f6702a, 0x6e4a3491, 0x43c40caa, 0x6c970bfc,
    0x468f9231, 0x6acb8483, 0x495707f5, 0x68e7e994, 0x4c187ac7, 0x66ecad1c, 0x4ed200c5, 0x64da6797,
    0x5181bcea, 0x62b1d7b7, 0x5425e28e, 0x6073e1ae, 0x56bcb8c2, 0x5e218e16, 0x59449d76, 0x5bbc0875,
    /* 1024 - format = Q31 * 2^0 */
    0x0009962f, 0x7fffffa4, 0x000e16fb, 0x7fffff39, 0x0011ea65, 0x7ffffebf, 0x0015750e, 0x7ffffe34,
    0x0018dc74, 0x7ffffd96, 0x001c332e, 0x7ffffce5, 0x001f83f5, 0x7ffffc1f, 0x0022d59a, 0x7ffffb43,
    0x00262cc2, 0x7ffffa4f, 0x00298cc4, 0x7ffff942, 0x002cf81f, 0x7ffff81a, 0x003070c4, 0x7ffff6d6,
    0x0033f840, 0x7ffff573, 0x00378fd9, 0x7ffff3f1, 0x003b38a1, 0x7ffff24d, 0x003ef381, 0x7ffff085,
    0x0042c147, 0x7fffee98, 0x0046a2a8, 0x7fffec83, 0x004a9847, 0x7fffea44, 0x004ea2b7, 0x7fffe7d8,
    0x0052c283, 0x7fffe53f, 0x0056f829, 0x7fffe274, 0x005b4422, 0x7fffdf76, 0x005fa6dd, 0x7fffdc43,
    0x006420c8, 0x7fffd8d6, 0x0068b249, 0x7fffd52f, 0x006d5bc4, 0x7fffd149, 0x00721d9a, 0x7fffcd22,
    0x0076f828, 0x7fffc8b6, 0x007bebca, 0x7fffc404, 0x0080f8d9, 0x7fffbf06, 0x00861fae, 0x7fffb9bb,
    0x008b609e, 0x7fffb41e, 0x0090bbff, 0x7fffae2c, 0x00963224, 0x7fffa7e1, 0x009bc362, 0x7fffa13a,
    0x00a17009, 0x7fff9a32, 0x00a7386c, 0x7fff92c5, 0x00ad1cdc, 0x7fff8af0, 0x00b31da8, 0x7fff82ad,
    0x00b93b21, 0x7fff79f9, 0x00bf7596, 0x7fff70cf, 0x00c5cd57, 0x7fff672a, 0x00cc42b1, 0x7fff5d05,
    0x00d2d5f3, 0x7fff525c, 0x00d9876c, 0x7fff4729, 0x00e05769, 0x7fff3b66, 0x00e74638, 0x7fff2f10,
    0x00ee5426, 0x7fff221f, 0x00f58182, 0x7fff148e, 0x00fcce97, 0x7fff0658, 0x01043bb3, 0x7ffef776,
    0x010bc923, 0x7ffee7e2, 0x01137733, 0x7ffed795, 0x011b4631, 0x7ffec68a, 0x01233669, 0x7ffeb4ba,
    0x012b4827, 0x7ffea21d, 0x01337bb8, 0x7ffe8eac, 0x013bd167, 0x7ffe7a61, 0x01444982, 0x7ffe6533,
    0x014ce454, 0x7ffe4f1c, 0x0155a229, 0x7ffe3813, 0x015e834d, 0x7ffe2011, 0x0167880c, 0x7ffe070d,
    0x0170b0b2, 0x7ffdecff, 0x0179fd8b, 0x7ffdd1df, 0x01836ee1, 0x7ffdb5a2, 0x018d0500, 0x7ffd9842,
    0x0196c035, 0x7ffd79b3, 0x01a0a0ca, 0x7ffd59ee, 0x01aaa70a, 0x7ffd38e8, 0x01b4d341, 0x7ffd1697,
    0x01bf25b9, 0x7ffcf2f2, 0x01c99ebd, 0x7ffccdee, 0x01d43e99, 0x7ffca780, 0x01df0597, 0x7ffc7f9e,
    0x01e9f401, 0x7ffc563d, 0x01f50a22, 0x7ffc2b51, 0x02004844, 0x7ffbfecf, 0x020baeb1, 0x7ffbd0ab,
    0x02173db4, 0x7ffba0da, 0x0222f596, 0x7ffb6f4f, 0x022ed6a1, 0x7ffb3bfd, 0x023ae11f, 0x7ffb06d8,
    0x02471558, 0x7ffacfd3, 0x02537397, 0x7ffa96e0, 0x025ffc25, 0x7ffa5bf2, 0x026caf4a, 0x7ffa1efc,
    0x02798d4f, 0x7ff9dfee, 0x0286967c, 0x7ff99ebb, 0x0293cb1b, 0x7ff95b55, 0x02a12b72, 0x7ff915ab,
    0x02aeb7cb, 0x7ff8cdaf, 0x02bc706d, 0x7ff88351, 0x02ca559f, 0x7ff83682, 0x02d867a9, 0x7ff7e731,
    0x02e6a6d2, 0x7ff7954e, 0x02f51361, 0x7ff740c8, 0x0303ad9c, 0x7ff6e98e, 0x031275ca, 0x7ff68f8f,
    0x03216c30, 0x7ff632ba, 0x03309116, 0x7ff5d2fb, 0x033fe4bf, 0x7ff57042, 0x034f6773, 0x7ff50a7a,
    0x035f1975, 0x7ff4a192, 0x036efb0a, 0x7ff43576, 0x037f0c78, 0x7ff3c612, 0x038f4e02, 0x7ff35353,
    0x039fbfeb, 0x7ff2dd24, 0x03b06279, 0x7ff26370, 0x03c135ed, 0x7ff1e623, 0x03d23a8b, 0x7ff16527,
    0x03e37095, 0x7ff0e067, 0x03f4d84e, 0x7ff057cc, 0x040671f7, 0x7fefcb40, 0x04183dd3, 0x7fef3aad,
    0x042a3c22, 0x7feea5fa, 0x043c6d25, 0x7fee0d11, 0x044ed11d, 0x7fed6fda, 0x04616849, 0x7fecce3d,
    0x047432eb, 0x7fec2821, 0x04873140, 0x7feb7d6c, 0x049a6388, 0x7feace07, 0x04adca01, 0x7fea19d6,
    0x04c164ea, 0x7fe960c0, 0x04d53481, 0x7fe8a2aa, 0x04e93902, 0x7fe7df79, 0x04fd72aa, 0x7fe71712,
    0x0511e1b6, 0x7fe6495a, 0x05268663, 0x7fe57634, 0x053b60eb, 0x7fe49d83, 0x05507189, 0x7fe3bf2b,
    0x0565b879, 0x7fe2db0f, 0x057b35f4, 0x7fe1f110, 0x0590ea35, 0x7fe10111, 0x05a6d574, 0x7fe00af3,
    0x05bcf7ea, 0x7fdf0e97, 0x05d351cf, 0x7fde0bdd, 0x05e9e35c, 0x7fdd02a6, 0x0600acc8, 0x7fdbf2d2,
    0x0617ae48, 0x7fdadc40, 0x062ee814, 0x7fd9becf, 0x06465a62, 0x7fd89a5e, 0x065e0565, 0x7fd76eca,
    0x0675e954, 0x7fd63bf1, 0x068e0662, 0x7fd501b0, 0x06a65cc3, 0x7fd3bfe4, 0x06beecaa, 0x7fd2766a,
    0x06d7b648, 0x7fd1251e, 0x06f0b9d1, 0x7fcfcbda, 0x0709f775, 0x7fce6a7a, 0x07236f65, 0x7fcd00d8,
    0x073d21d2, 0x7fcb8ecf, 0x07570eea, 0x7fca1439, 0x077136dd, 0x7fc890ed, 0x078b99da, 0x7fc704c7,
    0x07a6380d, 0x7fc56f9d, 0x07c111a4, 0x7fc3d147, 0x07dc26cc, 0x7fc2299e, 0x07f777b1, 0x7fc07878,
    0x0813047d, 0x7fbebdac, 0x082ecd5b, 0x7fbcf90f, 0x084ad276, 0x7fbb2a78, 0x086713f7, 0x7fb951bc,
    0x08839206, 0x7fb76eaf, 0x08a04ccb, 0x7fb58126, 0x08bd446e, 0x7fb388f4, 0x08da7915, 0x7fb185ee,
    0x08f7eae7, 0x7faf77e5, 0x09159a09, 0x7fad5ead, 0x0933869f, 0x7fab3a17, 0x0951b0cd, 0x7fa909f6,
    0x097018b7, 0x7fa6ce1a, 0x098ebe7f, 0x7fa48653, 0x09ada248, 0x7fa23273, 0x09ccc431, 0x7f9fd249,
    0x09ec245b, 0x7f9d65a4, 0x0a0bc2e7, 0x7f9aec53, 0x0a2b9ff3, 0x7f986625, 0x0a4bbb9e, 0x7f95d2e7,
    0x0a6c1604, 0x7f933267, 0x0a8caf43, 0x7f908472, 0x0aad8776, 0x7f8dc8d5, 0x0ace9eb9, 0x7f8aff5c,
    0x0aeff526, 0x7f8827d3, 0x0b118ad8, 0x7f854204, 0x0b335fe6, 0x7f824dbb, 0x0b557469, 0x7f7f4ac3,
    0x0b77c879, 0x7f7c38e4, 0x0b9a5c2b, 0x7f7917e9, 0x0bbd2f97, 0x7f75e79b, 0x0be042d0, 0x7f72a7c3,
    0x0c0395ec, 0x7f6f5828, 0x0c2728fd, 0x7f6bf892, 0x0c4afc16, 0x7f6888c9, 0x0c6f0f4a, 0x7f650894,
    0x0c9362a8, 0x7f6177b9, 0x0cb7f642, 0x7f5dd5ff, 0x0cdcca26, 0x7f5a232a, 0x0d01de63, 0x7f565f00,
    0x0d273307, 0x7f528947, 0x0d4cc81f, 0x7f4ea1c2, 0x0d729db7, 0x7f4aa835, 0x0d98b3da, 0x7f469c65,
    0x0dbf0a92, 0x7f427e13, 0x0de5a1e9, 0x7f3e4d04, 0x0e0c79e7, 0x7f3a08f9, 0x0e339295, 0x7f35b1b4,
    0x0e5aebfa, 0x7f3146f8, 0x0e82861a, 0x7f2cc884, 0x0eaa60fd, 0x7f28361b, 0x0ed27ca5, 0x7f238f7c,
    0x0efad917, 0x7f1ed467, 0x0f237656, 0x7f1a049d, 0x0f4c5462, 0x7f151fdc, 0x0f75733d, 0x7f1025e3,
    0x0f9ed2e6, 0x7f0b1672, 0x0fc8735e, 0x7f05f146, 0x0ff254a1, 0x7f00b61d, 0x101c76ae, 0x7efb64b4,
    0x1046d981, 0x7ef5fcca, 0x10717d15, 0x7ef07e19, 0x109c6165, 0x7eeae860, 0x10c7866a, 0x7ee53b5b,
    0x10f2ec1e, 0x7edf76c4, 0x111e9279, 0x7ed99a58, 0x114a7971, 0x7ed3a5d1, 0x1176a0fc, 0x7ecd98eb,
    0x11a30910, 0x7ec77360, 0x11cfb1a1, 0x7ec134eb, 0x11fc9aa2, 0x7ebadd44, 0x1229c406, 0x7eb46c27,
    0x12572dbf, 0x7eade14c, 0x1284d7bc, 0x7ea73c6c, 0x12b2c1ed, 0x7ea07d41, 0x12e0ec42, 0x7e99a382,
    0x130f56a8, 0x7e92aee7, 0x133e010b, 0x7e8b9f2a, 0x136ceb59, 0x7e847402, 0x139c157b, 0x7e7d2d25,
    0x13cb7f5d, 0x7e75ca4c, 0x13fb28e6, 0x7e6e4b2d, 0x142b1200, 0x7e66af7f, 0x145b3a92, 0x7e5ef6f8,
    0x148ba281, 0x7e572150, 0x14bc49b4, 0x7e4f2e3b, 0x14ed300f, 0x7e471d70, 0x151e5575, 0x7e3eeea5,
    0x154fb9c9, 0x7e36a18e, 0x15815ced, 0x7e2e35e2, 0x15b33ec1, 0x7e25ab56, 0x15e55f25, 0x7e1d019e,
    0x1617bdf9, 0x7e14386e, 0x164a5b19, 0x7e0b4f7d, 0x167d3662, 0x7e02467e, 0x16b04fb2, 0x7df91d25,
    0x16e3a6e2, 0x7defd327, 0x17173bce, 0x7de66837, 0x174b0e4d, 0x7ddcdc0a, 0x177f1e39, 0x7dd32e53,
    0x17b36b69, 0x7dc95ec6, 0x17e7f5b3, 0x7dbf6d17, 0x181cbcec, 0x7db558f9, 0x1851c0e9, 0x7dab221f,
    0x1887017d, 0x7da0c83c, 0x18bc7e7c, 0x7d964b05, 0x18f237b6, 0x7d8baa2b, 0x19282cfd, 0x7d80e563,
    0x195e5e20, 0x7d75fc5e, 0x1994caee, 0x7d6aeed0, 0x19cb7335, 0x7d5fbc6d, 0x1a0256c2, 0x7d5464e6,
    0x1a397561, 0x7d48e7ef, 0x1a70cede, 0x7d3d453b, 0x1aa86301, 0x7d317c7c, 0x1ae03195, 0x7d258d65,
    0x1b183a63, 0x7d1977aa, 0x1b507d30, 0x7d0d3afc, 0x1b88f9c5, 0x7d00d710, 0x1bc1afe6, 0x7cf44b97,
    0x1bfa9f58, 0x7ce79846, 0x1c33c7e0, 0x7cdabcce, 0x1c6d293f, 0x7ccdb8e4, 0x1ca6c337, 0x7cc08c39,
    0x1ce0958a, 0x7cb33682, 0x1d1a9ff8, 0x7ca5b772, 0x1d54e240, 0x7c980ebd, 0x1d8f5c21, 0x7c8a3c14,
    0x1dca0d56, 0x7c7c3f2e, 0x1e04f59f, 0x7c6e17bc, 0x1e4014b4, 0x7c5fc573, 0x1e7b6a53, 0x7c514807,
    0x1eb6f633, 0x7c429f2c, 0x1ef2b80f, 0x7c33ca96, 0x1f2eaf9e, 0x7c24c9fa, 0x1f6adc98, 0x7c159d0d,
    0x1fa73eb2, 0x7c064383, 0x1fe3d5a3, 0x7bf6bd11, 0x2020a11e, 0x7be7096c, 0x205da0d8, 0x7bd7284a,
    0x209ad483, 0x7bc71960, 0x20d83bd1, 0x7bb6dc65, 0x2115d674, 0x7ba6710d, 0x2153a41b, 0x7b95d710,
    0x2191a476, 0x7b850e24, 0x21cfd734, 0x7b7415ff, 0x220e3c02, 0x7b62ee59, 0x224cd28d, 0x7b5196e9,
    0x228b9a82, 0x7b400f67, 0x22ca938a, 0x7b2e578a, 0x2309bd52, 0x7b1c6f0b, 0x23491783, 0x7b0a55a1,
    0x2388a1c4, 0x7af80b07, 0x23c85bbf, 0x7ae58ef5, 0x2408451a, 0x7ad2e124, 0x24485d7c, 0x7ac0014e,
    0x2488a48a, 0x7aacef2e, 0x24c919e9, 0x7a99aa7e, 0x2509bd3d, 0x7a8632f8, 0x254a8e29, 0x7a728858,
    0x258b8c50, 0x7a5eaa5a, 0x25ccb753, 0x7a4a98b9, 0x260e0ed3, 0x7a365333, 0x264f9271, 0x7a21d983,
    0x269141cb, 0x7a0d2b68, 0x26d31c80, 0x79f8489e, 0x2715222f, 0x79e330e4, 0x27575273, 0x79cde3f8,
    0x2799acea, 0x79b8619a, 0x27dc3130, 0x79a2a989, 0x281ededf, 0x798cbb85, 0x2861b591, 0x7976974e,
    0x28a4b4e0, 0x79603ca5, 0x28e7dc65, 0x7949ab4c, 0x292b2bb8, 0x7932e304, 0x296ea270, 0x791be390,
    0x29b24024, 0x7904acb3, 0x29f6046b, 0x78ed3e30, 0x2a39eed8, 0x78d597cc, 0x2a7dff02, 0x78bdb94a,
    0x2ac2347c, 0x78a5a270, 0x2b068eda, 0x788d5304, 0x2b4b0dae, 0x7874cacb, 0x2b8fb08a, 0x785c098d,
    0x2bd47700, 0x78430f11, 0x2c1960a1, 0x7829db1f, 0x2c5e6cfd, 0x78106d7f, 0x2ca39ba3, 0x77f6c5fb,
    0x2ce8ec23, 0x77dce45c, 0x2d2e5e0b, 0x77c2c86e, 0x2d73f0e8, 0x77a871fa, 0x2db9a449, 0x778de0cd,
    0x2dff77b8, 0x777314b2, 0x2e456ac4, 0x77580d78, 0x2e8b7cf6, 0x773ccaeb, 0x2ed1addb, 0x77214cdb,
    0x2f17fcfb, 0x77059315, 0x2f5e69e2, 0x76e99d69, 0x2fa4f419, 0x76cd6ba9, 0x2feb9b27, 0x76b0fda4,
    0x30325e96, 0x7694532e, 0x30793dee, 0x76776c17, 0x30c038b5, 0x765a4834, 0x31074e72, 0x763ce759,
    0x314e7eab, 0x761f4959, 0x3195c8e6, 0x76016e0b, 0x31dd2ca9, 0x75e35545, 0x3224a979, 0x75c4fedc,
    0x326c3ed8, 0x75a66aab, 0x32b3ec4d, 0x75879887, 0x32fbb159, 0x7568884b, 0x33438d81, 0x754939d1,
    0x338b8045, 0x7529acf4, 0x33d3892a, 0x7509e18e, 0x341ba7b1, 0x74e9d77d, 0x3463db5a, 0x74c98e9e,
    0x34ac23a7, 0x74a906cd, 0x34f48019, 0x74883fec, 0x353cf02f, 0x746739d8, 0x3585736a, 0x7445f472,
    0x35ce0949, 0x74246f9c, 0x3616b14c, 0x7402ab37, 0x365f6af0, 0x73e0a727, 0x36a835b5, 0x73be6350,
    0x36f11118, 0x739bdf95, 0x3739fc98, 0x73791bdd, 0x3782f7b2, 0x7356180e, 0x37cc01e3, 0x7332d410,
    0x38151aa8, 0x730f4fc9, 0x385e417e, 0x72eb8b24, 0x38a775e1, 0x72c7860a, 0x38f0b74d, 0x72a34066,
    0x393a053e, 0x727eba24, 0x39835f30, 0x7259f331, 0x39ccc49e, 0x7234eb79, 0x3a163503, 0x720fa2eb,
    0x3a5fafda, 0x71ea1977, 0x3aa9349e, 0x71c44f0c, 0x3af2c2ca, 0x719e439d, 0x3b3c59d7, 0x7177f71a,
    0x3b85f940, 0x71516978, 0x3bcfa07e, 0x712a9aaa, 0x3c194f0d, 0x71038aa4, 0x3c630464, 0x70dc395e,
    0x3cacbfff, 0x70b4a6cd, 0x3cf68155, 0x708cd2e9, 0x3d4047e1, 0x7064bdab, 0x3d8a131c, 0x703c670d,
    0x3dd3e27e, 0x7013cf0a, 0x3e1db580, 0x6feaf59c, 0x3e678b9b, 0x6fc1dac1, 0x3eb16449, 0x6f987e76,
    0x3efb3f01, 0x6f6ee0b9, 0x3f451b3d, 0x6f45018b, 0x3f8ef874, 0x6f1ae0eb, 0x3fd8d620, 0x6ef07edb,
    0x4022b3b9, 0x6ec5db5d, 0x406c90b7, 0x6e9af675, 0x40b66c93, 0x6e6fd027, 0x410046c5, 0x6e446879,
    0x414a1ec6, 0x6e18bf71, 0x4193f40d, 0x6decd517, 0x41ddc615, 0x6dc0a972, 0x42279455, 0x6d943c8d,
    0x42715e45, 0x6d678e71, 0x42bb235f, 0x6d3a9f2a, 0x4304e31a, 0x6d0d6ec5, 0x434e9cf1, 0x6cdffd4f,
    0x4398505b, 0x6cb24ad6, 0x43e1fcd1, 0x6c84576b, 0x442ba1cd, 0x6c56231c, 0x44753ec7, 0x6c27adfd,
    0x44bed33a, 0x6bf8f81e, 0x45085e9d, 0x6bca0195, 0x4551e06b, 0x6b9aca75, 0x459b581e, 0x6b6b52d5,
    0x45e4c52f, 0x6b3b9ac9, 0x462e2717, 0x6b0ba26b, 0x46777d52, 0x6adb69d3, 0x46c0c75a, 0x6aaaf11b,
    0x470a04a9, 0x6a7a385c, 0x475334b9, 0x6a493fb3, 0x479c5707, 0x6a18073d, 0x47e56b0c, 0x69e68f17,
    0x482e7045, 0x69b4d761, 0x4877662c, 0x6982e039, 0x48c04c3f, 0x6950a9c0, 0x490921f8, 0x691e341a,
    0x4951e6d5, 0x68eb7f67, 0x499a9a51, 0x68b88bcd, 0x49e33beb, 0x68855970, 0x4a2bcb1f, 0x6851e875,
    0x4a74476b, 0x681e3905, 0x4abcb04c, 0x67ea4b47, 0x4b050541, 0x67b61f63, 0x4b4d45c9, 0x6781b585,
    0x4b957162, 0x674d0dd6, 0x4bdd878c, 0x67182883, 0x4c2587c6, 0x66e305b8, 0x4c6d7190, 0x66ada5a5,
    0x4cb5446a, 0x66780878, 0x4cfcffd5, 0x66422e60, 0x4d44a353, 0x660c1790, 0x4d8c2e64, 0x65d5c439,
    0x4dd3a08c, 0x659f348e, 0x4e1af94b, 0x656868c3, 0x4e623825, 0x6531610d, 0x4ea95c9d, 0x64fa1da3,
    0x4ef06637, 0x64c29ebb, 0x4f375477, 0x648ae48d, 0x4f7e26e1, 0x6452ef53, 0x4fc4dcfb, 0x641abf46,
    0x500b7649, 0x63e254a2, 0x5051f253, 0x63a9afa2, 0x5098509f, 0x6370d083, 0x50de90b3, 0x6337b784,
    0x5124b218, 0x62fe64e3, 0x516ab455, 0x62c4d8e0, 0x51b096f3, 0x628b13bc, 0x51f6597b, 0x625115b8,
    0x523bfb78, 0x6216df18, 0x52817c72, 0x61dc701f, 0x52c6dbf5, 0x61a1c912, 0x530c198d, 0x6166ea36,
    0x535134c5, 0x612bd3d2, 0x53962d2a, 0x60f0862d, 0x53db024a, 0x60b50190, 0x541fb3b1, 0x60794644,
    0x546440ef, 0x603d5494, 0x54a8a992, 0x60012cca, 0x54eced2b, 0x5fc4cf33, 0x55310b48, 0x5f883c1c,
    0x5575037c, 0x5f4b73d2, 0x55b8d558, 0x5f0e76a5, 0x55fc806f, 0x5ed144e5, 0x56400452, 0x5e93dee1,
    0x56836096, 0x5e5644ec, 0x56c694cf, 0x5e187757, 0x5709a092, 0x5dda7677, 0x574c8374, 0x5d9c429f,
    0x578f3d0d, 0x5d5ddc24, 0x57d1ccf2, 0x5d1f435d, 0x581432bd, 0x5ce078a0, 0x58566e04, 0x5ca17c45,
    0x58987e63, 0x5c624ea4, 0x58da6372, 0x5c22f016, 0x591c1ccc, 0x5be360f6, 0x595daa0d, 0x5ba3a19f,
    0x599f0ad1, 0x5b63b26c, 0x59e03eb6, 0x5b2393ba, 0x5a214558, 0x5ae345e7, 0x5a621e56, 0x5aa2c951,
};



/* bit reverse tables for FFT */

const int bitrevtabOffset[NUM_IMDCT_SIZES] DPROGMEM = {0, 17};

const unsigned char bitrevtab[17 + 129] DPROGMEM = {
    /* nfft = 64 */
    0x01, 0x08, 0x02, 0x04, 0x03, 0x0c, 0x05, 0x0a, 0x07, 0x0e, 0x0b, 0x0d, 0x00, 0x06, 0x09, 0x0f,
    0x00,

    /* nfft = 512 */
    0x01, 0x40, 0x02, 0x20, 0x03, 0x60, 0x04, 0x10, 0x05, 0x50, 0x06, 0x30, 0x07, 0x70, 0x09, 0x48,
    0x0a, 0x28, 0x0b, 0x68, 0x0c, 0x18, 0x0d, 0x58, 0x0e, 0x38, 0x0f, 0x78, 0x11, 0x44, 0x12, 0x24,
    0x13, 0x64, 0x15, 0x54, 0x16, 0x34, 0x17, 0x74, 0x19, 0x4c, 0x1a, 0x2c, 0x1b, 0x6c, 0x1d, 0x5c,
    0x1e, 0x3c, 0x1f, 0x7c, 0x21, 0x42, 0x23, 0x62, 0x25, 0x52, 0x26, 0x32, 0x27, 0x72, 0x29, 0x4a,
    0x2b, 0x6a, 0x2d, 0x5a, 0x2e, 0x3a, 0x2f, 0x7a, 0x31, 0x46, 0x33, 0x66, 0x35, 0x56, 0x37, 0x76,
    0x39, 0x4e, 0x3b, 0x6e, 0x3d, 0x5e, 0x3f, 0x7e, 0x43, 0x61, 0x45, 0x51, 0x47, 0x71, 0x4b, 0x69,
    0x4d, 0x59, 0x4f, 0x79, 0x53, 0x65, 0x57, 0x75, 0x5b, 0x6d, 0x5f, 0x7d, 0x67, 0x73, 0x6f, 0x7b,
    0x00, 0x08, 0x14, 0x1c, 0x22, 0x2a, 0x36, 0x3e, 0x41, 0x49, 0x55, 0x5d, 0x63, 0x6b, 0x77, 0x7f,
    0x00,

};

const unsigned char uniqueIDTab[8] DPROGMEM = {0x5f, 0x4b, 0x43, 0x5f, 0x5f, 0x4a, 0x52, 0x5f};

/*  Twiddle tables for FFT
    format = Q30

    for (k = 4; k <= N/4; k <<= 1) {
     for (j = 0; j < k; j++) {
       double wr1, wi1, wr2, wi2, wr3, wi3;

       wr1 = cos(1.0 * M_PI * j / (2*k));
       wi1 = sin(1.0 * M_PI * j / (2*k));
       wr1 = (wr1 + wi1);
       wi1 = -wi1;

       wr2 = cos(2.0 * M_PI * j / (2*k));
       wi2 = sin(2.0 * M_PI * j / (2*k));
       wr2 = (wr2 + wi2);
       wi2 = -wi2;

       wr3 = cos(3.0 * M_PI * j / (2*k));
       wi3 = sin(3.0 * M_PI * j / (2*k));
       wr3 = (wr3 + wi3);
       wi3 = -wi3;

       if (k & 0xaaaaaaaa) {
         w_odd[iodd++] = (float)wr2;
         w_odd[iodd++] = (float)wi2;
         w_odd[iodd++] = (float)wr1;
         w_odd[iodd++] = (float)wi1;
         w_odd[iodd++] = (float)wr3;
         w_odd[iodd++] = (float)wi3;
       } else {
         w_even[ieven++] = (float)wr2;
         w_even[ieven++] = (float)wi2;
         w_even[ieven++] = (float)wr1;
         w_even[ieven++] = (float)wi1;
         w_even[ieven++] = (float)wr3;
         w_even[ieven++] = (float)wi3;
       }
     }
    }
*/
const int twidTabOdd[8 * 6 + 32 * 6 + 128 * 6] DPROGMEM = {
    0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x539eba45, 0xe7821d59,
    0x4b418bbe, 0xf383a3e2, 0x58c542c5, 0xdc71898d, 0x5a82799a, 0xd2bec333, 0x539eba45, 0xe7821d59,
    0x539eba45, 0xc4df2862, 0x539eba45, 0xc4df2862, 0x58c542c5, 0xdc71898d, 0x3248d382, 0xc13ad060,
    0x40000000, 0xc0000000, 0x5a82799a, 0xd2bec333, 0x00000000, 0xd2bec333, 0x22a2f4f8, 0xc4df2862,
    0x58c542c5, 0xcac933ae, 0xcdb72c7e, 0xf383a3e2, 0x00000000, 0xd2bec333, 0x539eba45, 0xc4df2862,
    0xac6145bb, 0x187de2a7, 0xdd5d0b08, 0xe7821d59, 0x4b418bbe, 0xc13ad060, 0xa73abd3b, 0x3536cc52,

    0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x45f704f7, 0xf9ba1651,
    0x43103085, 0xfcdc1342, 0x48b2b335, 0xf69bf7c9, 0x4b418bbe, 0xf383a3e2, 0x45f704f7, 0xf9ba1651,
    0x4fd288dc, 0xed6bf9d1, 0x4fd288dc, 0xed6bf9d1, 0x48b2b335, 0xf69bf7c9, 0x553805f2, 0xe4a2eff6,
    0x539eba45, 0xe7821d59, 0x4b418bbe, 0xf383a3e2, 0x58c542c5, 0xdc71898d, 0x569cc31b, 0xe1d4a2c8,
    0x4da1fab5, 0xf0730342, 0x5a6690ae, 0xd5052d97, 0x58c542c5, 0xdc71898d, 0x4fd288dc, 0xed6bf9d1,
    0x5a12e720, 0xce86ff2a, 0x5a12e720, 0xd76619b6, 0x51d1dc80, 0xea70658a, 0x57cc15bc, 0xc91af976,
    0x5a82799a, 0xd2bec333, 0x539eba45, 0xe7821d59, 0x539eba45, 0xc4df2862, 0x5a12e720, 0xce86ff2a,
    0x553805f2, 0xe4a2eff6, 0x4da1fab5, 0xc1eb0209, 0x58c542c5, 0xcac933ae, 0x569cc31b, 0xe1d4a2c8,
    0x45f704f7, 0xc04ee4b8, 0x569cc31b, 0xc78e9a1d, 0x57cc15bc, 0xdf18f0ce, 0x3cc85709, 0xc013bc39,
    0x539eba45, 0xc4df2862, 0x58c542c5, 0xdc71898d, 0x3248d382, 0xc13ad060, 0x4fd288dc, 0xc2c17d52,
    0x5987b08a, 0xd9e01006, 0x26b2a794, 0xc3bdbdf6, 0x4b418bbe, 0xc13ad060, 0x5a12e720, 0xd76619b6,
    0x1a4608ab, 0xc78e9a1d, 0x45f704f7, 0xc04ee4b8, 0x5a6690ae, 0xd5052d97, 0x0d47d096, 0xcc983f70,
    0x40000000, 0xc0000000, 0x5a82799a, 0xd2bec333, 0x00000000, 0xd2bec333, 0x396b3199, 0xc04ee4b8,
    0x5a6690ae, 0xd09441bb, 0xf2b82f6a, 0xd9e01006, 0x3248d382, 0xc13ad060, 0x5a12e720, 0xce86ff2a,
    0xe5b9f755, 0xe1d4a2c8, 0x2aaa7c7f, 0xc2c17d52, 0x5987b08a, 0xcc983f70, 0xd94d586c, 0xea70658a,
    0x22a2f4f8, 0xc4df2862, 0x58c542c5, 0xcac933ae, 0xcdb72c7e, 0xf383a3e2, 0x1a4608ab, 0xc78e9a1d,
    0x57cc15bc, 0xc91af976, 0xc337a8f7, 0xfcdc1342, 0x11a855df, 0xcac933ae, 0x569cc31b, 0xc78e9a1d,
    0xba08fb09, 0x0645e9af, 0x08df1a8c, 0xce86ff2a, 0x553805f2, 0xc6250a18, 0xb25e054b, 0x0f8cfcbe,
    0x00000000, 0xd2bec333, 0x539eba45, 0xc4df2862, 0xac6145bb, 0x187de2a7, 0xf720e574, 0xd76619b6,
    0x51d1dc80, 0xc3bdbdf6, 0xa833ea44, 0x20e70f32, 0xee57aa21, 0xdc71898d, 0x4fd288dc, 0xc2c17d52,
    0xa5ed18e0, 0x2899e64a, 0xe5b9f755, 0xe1d4a2c8, 0x4da1fab5, 0xc1eb0209, 0xa5996f52, 0x2f6bbe45,
    0xdd5d0b08, 0xe7821d59, 0x4b418bbe, 0xc13ad060, 0xa73abd3b, 0x3536cc52, 0xd5558381, 0xed6bf9d1,
    0x48b2b335, 0xc0b15502, 0xaac7fa0e, 0x39daf5e8, 0xcdb72c7e, 0xf383a3e2, 0x45f704f7, 0xc04ee4b8,
    0xb02d7724, 0x3d3e82ae, 0xc694ce67, 0xf9ba1651, 0x43103085, 0xc013bc39, 0xb74d4ccb, 0x3f4eaafe,

    0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x418d2621, 0xfe6deaa1,
    0x40c7d2bd, 0xff36f170, 0x424ff28f, 0xfda4f351, 0x43103085, 0xfcdc1342, 0x418d2621, 0xfe6deaa1,
    0x4488e37f, 0xfb4ab7db, 0x4488e37f, 0xfb4ab7db, 0x424ff28f, 0xfda4f351, 0x46aa0d6d, 0xf8f21e8e,
    0x45f704f7, 0xf9ba1651, 0x43103085, 0xfcdc1342, 0x48b2b335, 0xf69bf7c9, 0x475a5c77, 0xf82a6c6a,
    0x43cdd89a, 0xfc135231, 0x4aa22036, 0xf4491311, 0x48b2b335, 0xf69bf7c9, 0x4488e37f, 0xfb4ab7db,
    0x4c77a88e, 0xf1fa3ecb, 0x49ffd417, 0xf50ef5de, 0x454149fc, 0xfa824bfd, 0x4e32a956, 0xefb047f2,
    0x4b418bbe, 0xf383a3e2, 0x45f704f7, 0xf9ba1651, 0x4fd288dc, 0xed6bf9d1, 0x4c77a88e, 0xf1fa3ecb,
    0x46aa0d6d, 0xf8f21e8e, 0x5156b6d9, 0xeb2e1dbe, 0x4da1fab5, 0xf0730342, 0x475a5c77, 0xf82a6c6a,
    0x52beac9f, 0xe8f77acf, 0x4ec05432, 0xeeee2d9d, 0x4807eb4b, 0xf7630799, 0x5409ed4b, 0xe6c8d59c,
    0x4fd288dc, 0xed6bf9d1, 0x48b2b335, 0xf69bf7c9, 0x553805f2, 0xe4a2eff6, 0x50d86e6d, 0xebeca36c,
    0x495aada2, 0xf5d544a7, 0x56488dc5, 0xe28688a4, 0x51d1dc80, 0xea70658a, 0x49ffd417, 0xf50ef5de,
    0x573b2635, 0xe0745b24, 0x52beac9f, 0xe8f77acf, 0x4aa22036, 0xf4491311, 0x580f7b19, 0xde6d1f65,
    0x539eba45, 0xe7821d59, 0x4b418bbe, 0xf383a3e2, 0x58c542c5, 0xdc71898d, 0x5471e2e6, 0xe61086bc,
    0x4bde1089, 0xf2beafed, 0x595c3e2a, 0xda8249b4, 0x553805f2, 0xe4a2eff6, 0x4c77a88e, 0xf1fa3ecb,
    0x59d438e5, 0xd8a00bae, 0x55f104dc, 0xe3399167, 0x4d0e4de2, 0xf136580d, 0x5a2d0957, 0xd6cb76c9,
    0x569cc31b, 0xe1d4a2c8, 0x4da1fab5, 0xf0730342, 0x5a6690ae, 0xd5052d97, 0x573b2635, 0xe0745b24,
    0x4e32a956, 0xefb047f2, 0x5a80baf6, 0xd34dcdb4, 0x57cc15bc, 0xdf18f0ce, 0x4ec05432, 0xeeee2d9d,
    0x5a7b7f1a, 0xd1a5ef90, 0x584f7b58, 0xddc29958, 0x4f4af5d1, 0xee2cbbc1, 0x5a56deec, 0xd00e2639,
    0x58c542c5, 0xdc71898d, 0x4fd288dc, 0xed6bf9d1, 0x5a12e720, 0xce86ff2a, 0x592d59da, 0xdb25f566,
    0x50570819, 0xecabef3d, 0x59afaf4c, 0xcd110216, 0x5987b08a, 0xd9e01006, 0x50d86e6d, 0xebeca36c,
    0x592d59da, 0xcbacb0bf, 0x59d438e5, 0xd8a00bae, 0x5156b6d9, 0xeb2e1dbe, 0x588c1404, 0xca5a86c4,
    0x5a12e720, 0xd76619b6, 0x51d1dc80, 0xea70658a, 0x57cc15bc, 0xc91af976, 0x5a43b190, 0xd6326a88,
    0x5249daa2, 0xe9b38223, 0x56eda1a0, 0xc7ee77b3, 0x5a6690ae, 0xd5052d97, 0x52beac9f, 0xe8f77acf,
    0x55f104dc, 0xc6d569be, 0x5a7b7f1a, 0xd3de9156, 0x53304df6, 0xe83c56cf, 0x54d69714, 0xc5d03118,
    0x5a82799a, 0xd2bec333, 0x539eba45, 0xe7821d59, 0x539eba45, 0xc4df2862, 0x5a7b7f1a, 0xd1a5ef90,
    0x5409ed4b, 0xe6c8d59c, 0x5249daa2, 0xc402a33c, 0x5a6690ae, 0xd09441bb, 0x5471e2e6, 0xe61086bc,
    0x50d86e6d, 0xc33aee27, 0x5a43b190, 0xcf89e3e8, 0x54d69714, 0xe55937d5, 0x4f4af5d1, 0xc2884e6e,
    0x5a12e720, 0xce86ff2a, 0x553805f2, 0xe4a2eff6, 0x4da1fab5, 0xc1eb0209, 0x59d438e5, 0xcd8bbb6d,
    0x55962bc0, 0xe3edb628, 0x4bde1089, 0xc1633f8a, 0x5987b08a, 0xcc983f70, 0x55f104dc, 0xe3399167,
    0x49ffd417, 0xc0f1360b, 0x592d59da, 0xcbacb0bf, 0x56488dc5, 0xe28688a4, 0x4807eb4b, 0xc0950d1d,
    0x58c542c5, 0xcac933ae, 0x569cc31b, 0xe1d4a2c8, 0x45f704f7, 0xc04ee4b8, 0x584f7b58, 0xc9edeb50,
    0x56eda1a0, 0xe123e6ad, 0x43cdd89a, 0xc01ed535, 0x57cc15bc, 0xc91af976, 0x573b2635, 0xe0745b24,
    0x418d2621, 0xc004ef3f, 0x573b2635, 0xc8507ea7, 0x57854ddd, 0xdfc606f1, 0x3f35b59d, 0xc0013bd3,
    0x569cc31b, 0xc78e9a1d, 0x57cc15bc, 0xdf18f0ce, 0x3cc85709, 0xc013bc39, 0x55f104dc, 0xc6d569be,
    0x580f7b19, 0xde6d1f65, 0x3a45e1f7, 0xc03c6a07, 0x553805f2, 0xc6250a18, 0x584f7b58, 0xddc29958,
    0x37af354c, 0xc07b371e, 0x5471e2e6, 0xc57d965d, 0x588c1404, 0xdd196538, 0x350536f1, 0xc0d00db6,
    0x539eba45, 0xc4df2862, 0x58c542c5, 0xdc71898d, 0x3248d382, 0xc13ad060, 0x52beac9f, 0xc449d892,
    0x58fb0568, 0xdbcb0cce, 0x2f7afdfc, 0xc1bb5a11, 0x51d1dc80, 0xc3bdbdf6, 0x592d59da, 0xdb25f566,
    0x2c9caf6c, 0xc2517e31, 0x50d86e6d, 0xc33aee27, 0x595c3e2a, 0xda8249b4, 0x29aee694, 0xc2fd08a9,
    0x4fd288dc, 0xc2c17d52, 0x5987b08a, 0xd9e01006, 0x26b2a794, 0xc3bdbdf6, 0x4ec05432, 0xc2517e31,
    0x59afaf4c, 0xd93f4e9e, 0x23a8fb93, 0xc4935b3c, 0x4da1fab5, 0xc1eb0209, 0x59d438e5, 0xd8a00bae,
    0x2092f05f, 0xc57d965d, 0x4c77a88e, 0xc18e18a7, 0x59f54bee, 0xd8024d59, 0x1d719810, 0xc67c1e18,
    0x4b418bbe, 0xc13ad060, 0x5a12e720, 0xd76619b6, 0x1a4608ab, 0xc78e9a1d, 0x49ffd417, 0xc0f1360b,
    0x5a2d0957, 0xd6cb76c9, 0x17115bc0, 0xc8b4ab32, 0x48b2b335, 0xc0b15502, 0x5a43b190, 0xd6326a88,
    0x13d4ae08, 0xc9edeb50, 0x475a5c77, 0xc07b371e, 0x5a56deec, 0xd59afadb, 0x10911f04, 0xcb39edca,
    0x45f704f7, 0xc04ee4b8, 0x5a6690ae, 0xd5052d97, 0x0d47d096, 0xcc983f70, 0x4488e37f, 0xc02c64a6,
    0x5a72c63b, 0xd4710883, 0x09f9e6a1, 0xce0866b8, 0x43103085, 0xc013bc39, 0x5a7b7f1a, 0xd3de9156,
    0x06a886a0, 0xcf89e3e8, 0x418d2621, 0xc004ef3f, 0x5a80baf6, 0xd34dcdb4, 0x0354d741, 0xd11c3142,
    0x40000000, 0xc0000000, 0x5a82799a, 0xd2bec333, 0x00000000, 0xd2bec333, 0x3e68fb62, 0xc004ef3f,
    0x5a80baf6, 0xd2317756, 0xfcab28bf, 0xd4710883, 0x3cc85709, 0xc013bc39, 0x5a7b7f1a, 0xd1a5ef90,
    0xf9577960, 0xd6326a88, 0x3b1e5335, 0xc02c64a6, 0x5a72c63b, 0xd11c3142, 0xf606195f, 0xd8024d59,
    0x396b3199, 0xc04ee4b8, 0x5a6690ae, 0xd09441bb, 0xf2b82f6a, 0xd9e01006, 0x37af354c, 0xc07b371e,
    0x5a56deec, 0xd00e2639, 0xef6ee0fc, 0xdbcb0cce, 0x35eaa2c7, 0xc0b15502, 0x5a43b190, 0xcf89e3e8,
    0xec2b51f8, 0xddc29958, 0x341dbfd3, 0xc0f1360b, 0x5a2d0957, 0xcf077fe1, 0xe8eea440, 0xdfc606f1,
    0x3248d382, 0xc13ad060, 0x5a12e720, 0xce86ff2a, 0xe5b9f755, 0xe1d4a2c8, 0x306c2624, 0xc18e18a7,
    0x59f54bee, 0xce0866b8, 0xe28e67f0, 0xe3edb628, 0x2e88013a, 0xc1eb0209, 0x59d438e5, 0xcd8bbb6d,
    0xdf6d0fa1, 0xe61086bc, 0x2c9caf6c, 0xc2517e31, 0x59afaf4c, 0xcd110216, 0xdc57046d, 0xe83c56cf,
    0x2aaa7c7f, 0xc2c17d52, 0x5987b08a, 0xcc983f70, 0xd94d586c, 0xea70658a, 0x28b1b544, 0xc33aee27,
    0x595c3e2a, 0xcc217822, 0xd651196c, 0xecabef3d, 0x26b2a794, 0xc3bdbdf6, 0x592d59da, 0xcbacb0bf,
    0xd3635094, 0xeeee2d9d, 0x24ada23d, 0xc449d892, 0x58fb0568, 0xcb39edca, 0xd0850204, 0xf136580d,
    0x22a2f4f8, 0xc4df2862, 0x58c542c5, 0xcac933ae, 0xcdb72c7e, 0xf383a3e2, 0x2092f05f, 0xc57d965d,
    0x588c1404, 0xca5a86c4, 0xcafac90f, 0xf5d544a7, 0x1e7de5df, 0xc6250a18, 0x584f7b58, 0xc9edeb50,
    0xc850cab4, 0xf82a6c6a, 0x1c6427a9, 0xc6d569be, 0x580f7b19, 0xc9836582, 0xc5ba1e09, 0xfa824bfd,
    0x1a4608ab, 0xc78e9a1d, 0x57cc15bc, 0xc91af976, 0xc337a8f7, 0xfcdc1342, 0x1823dc7d, 0xc8507ea7,
    0x57854ddd, 0xc8b4ab32, 0xc0ca4a63, 0xff36f170, 0x15fdf758, 0xc91af976, 0x573b2635, 0xc8507ea7,
    0xbe72d9df, 0x0192155f, 0x13d4ae08, 0xc9edeb50, 0x56eda1a0, 0xc7ee77b3, 0xbc322766, 0x03ecadcf,
    0x11a855df, 0xcac933ae, 0x569cc31b, 0xc78e9a1d, 0xba08fb09, 0x0645e9af, 0x0f7944a7, 0xcbacb0bf,
    0x56488dc5, 0xc730e997, 0xb7f814b5, 0x089cf867, 0x0d47d096, 0xcc983f70, 0x55f104dc, 0xc6d569be,
    0xb6002be9, 0x0af10a22, 0x0b145041, 0xcd8bbb6d, 0x55962bc0, 0xc67c1e18, 0xb421ef77, 0x0d415013,
    0x08df1a8c, 0xce86ff2a, 0x553805f2, 0xc6250a18, 0xb25e054b, 0x0f8cfcbe, 0x06a886a0, 0xcf89e3e8,
    0x54d69714, 0xc5d03118, 0xb0b50a2f, 0x11d3443f, 0x0470ebdc, 0xd09441bb, 0x5471e2e6, 0xc57d965d,
    0xaf279193, 0x14135c94, 0x0238a1c6, 0xd1a5ef90, 0x5409ed4b, 0xc52d3d18, 0xadb6255e, 0x164c7ddd,
    0x00000000, 0xd2bec333, 0x539eba45, 0xc4df2862, 0xac6145bb, 0x187de2a7, 0xfdc75e3a, 0xd3de9156,
    0x53304df6, 0xc4935b3c, 0xab2968ec, 0x1aa6c82b, 0xfb8f1424, 0xd5052d97, 0x52beac9f, 0xc449d892,
    0xaa0efb24, 0x1cc66e99, 0xf9577960, 0xd6326a88, 0x5249daa2, 0xc402a33c, 0xa9125e60, 0x1edc1953,
    0xf720e574, 0xd76619b6, 0x51d1dc80, 0xc3bdbdf6, 0xa833ea44, 0x20e70f32, 0xf4ebafbf, 0xd8a00bae,
    0x5156b6d9, 0xc37b2b6a, 0xa773ebfc, 0x22e69ac8, 0xf2b82f6a, 0xd9e01006, 0x50d86e6d, 0xc33aee27,
    0xa6d2a626, 0x24da0a9a, 0xf086bb59, 0xdb25f566, 0x50570819, 0xc2fd08a9, 0xa65050b4, 0x26c0b162,
    0xee57aa21, 0xdc71898d, 0x4fd288dc, 0xc2c17d52, 0xa5ed18e0, 0x2899e64a, 0xec2b51f8, 0xddc29958,
    0x4f4af5d1, 0xc2884e6e, 0xa5a92114, 0x2a650525, 0xea0208a8, 0xdf18f0ce, 0x4ec05432, 0xc2517e31,
    0xa58480e6, 0x2c216eaa, 0xe7dc2383, 0xe0745b24, 0x4e32a956, 0xc21d0eb8, 0xa57f450a, 0x2dce88aa,
    0xe5b9f755, 0xe1d4a2c8, 0x4da1fab5, 0xc1eb0209, 0xa5996f52, 0x2f6bbe45, 0xe39bd857, 0xe3399167,
    0x4d0e4de2, 0xc1bb5a11, 0xa5d2f6a9, 0x30f8801f, 0xe1821a21, 0xe4a2eff6, 0x4c77a88e, 0xc18e18a7,
    0xa62bc71b, 0x32744493, 0xdf6d0fa1, 0xe61086bc, 0x4bde1089, 0xc1633f8a, 0xa6a3c1d6, 0x33de87de,
    0xdd5d0b08, 0xe7821d59, 0x4b418bbe, 0xc13ad060, 0xa73abd3b, 0x3536cc52, 0xdb525dc3, 0xe8f77acf,
    0x4aa22036, 0xc114ccb9, 0xa7f084e7, 0x367c9a7e, 0xd94d586c, 0xea70658a, 0x49ffd417, 0xc0f1360b,
    0xa8c4d9cb, 0x37af8159, 0xd74e4abc, 0xebeca36c, 0x495aada2, 0xc0d00db6, 0xa9b7723b, 0x38cf1669,
    0xd5558381, 0xed6bf9d1, 0x48b2b335, 0xc0b15502, 0xaac7fa0e, 0x39daf5e8, 0xd3635094, 0xeeee2d9d,
    0x4807eb4b, 0xc0950d1d, 0xabf612b5, 0x3ad2c2e8, 0xd177fec6, 0xf0730342, 0x475a5c77, 0xc07b371e,
    0xad415361, 0x3bb6276e, 0xcf93d9dc, 0xf1fa3ecb, 0x46aa0d6d, 0xc063d405, 0xaea94927, 0x3c84d496,
    0xcdb72c7e, 0xf383a3e2, 0x45f704f7, 0xc04ee4b8, 0xb02d7724, 0x3d3e82ae, 0xcbe2402d, 0xf50ef5de,
    0x454149fc, 0xc03c6a07, 0xb1cd56aa, 0x3de2f148, 0xca155d39, 0xf69bf7c9, 0x4488e37f, 0xc02c64a6,
    0xb3885772, 0x3e71e759, 0xc850cab4, 0xf82a6c6a, 0x43cdd89a, 0xc01ed535, 0xb55ddfca, 0x3eeb3347,
    0xc694ce67, 0xf9ba1651, 0x43103085, 0xc013bc39, 0xb74d4ccb, 0x3f4eaafe, 0xc4e1accb, 0xfb4ab7db,
    0x424ff28f, 0xc00b1a20, 0xb955f293, 0x3f9c2bfb, 0xc337a8f7, 0xfcdc1342, 0x418d2621, 0xc004ef3f,
    0xbb771c81, 0x3fd39b5a, 0xc197049e, 0xfe6deaa1, 0x40c7d2bd, 0xc0013bd3, 0xbdb00d71, 0x3ff4e5e0,
};

const int twidTabEven[4 * 6 + 16 * 6 + 64 * 6] DPROGMEM = {
    0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x5a82799a, 0xd2bec333,
    0x539eba45, 0xe7821d59, 0x539eba45, 0xc4df2862, 0x40000000, 0xc0000000, 0x5a82799a, 0xd2bec333,
    0x00000000, 0xd2bec333, 0x00000000, 0xd2bec333, 0x539eba45, 0xc4df2862, 0xac6145bb, 0x187de2a7,

    0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x4b418bbe, 0xf383a3e2,
    0x45f704f7, 0xf9ba1651, 0x4fd288dc, 0xed6bf9d1, 0x539eba45, 0xe7821d59, 0x4b418bbe, 0xf383a3e2,
    0x58c542c5, 0xdc71898d, 0x58c542c5, 0xdc71898d, 0x4fd288dc, 0xed6bf9d1, 0x5a12e720, 0xce86ff2a,
    0x5a82799a, 0xd2bec333, 0x539eba45, 0xe7821d59, 0x539eba45, 0xc4df2862, 0x58c542c5, 0xcac933ae,
    0x569cc31b, 0xe1d4a2c8, 0x45f704f7, 0xc04ee4b8, 0x539eba45, 0xc4df2862, 0x58c542c5, 0xdc71898d,
    0x3248d382, 0xc13ad060, 0x4b418bbe, 0xc13ad060, 0x5a12e720, 0xd76619b6, 0x1a4608ab, 0xc78e9a1d,
    0x40000000, 0xc0000000, 0x5a82799a, 0xd2bec333, 0x00000000, 0xd2bec333, 0x3248d382, 0xc13ad060,
    0x5a12e720, 0xce86ff2a, 0xe5b9f755, 0xe1d4a2c8, 0x22a2f4f8, 0xc4df2862, 0x58c542c5, 0xcac933ae,
    0xcdb72c7e, 0xf383a3e2, 0x11a855df, 0xcac933ae, 0x569cc31b, 0xc78e9a1d, 0xba08fb09, 0x0645e9af,
    0x00000000, 0xd2bec333, 0x539eba45, 0xc4df2862, 0xac6145bb, 0x187de2a7, 0xee57aa21, 0xdc71898d,
    0x4fd288dc, 0xc2c17d52, 0xa5ed18e0, 0x2899e64a, 0xdd5d0b08, 0xe7821d59, 0x4b418bbe, 0xc13ad060,
    0xa73abd3b, 0x3536cc52, 0xcdb72c7e, 0xf383a3e2, 0x45f704f7, 0xc04ee4b8, 0xb02d7724, 0x3d3e82ae,

    0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x40000000, 0x00000000, 0x43103085, 0xfcdc1342,
    0x418d2621, 0xfe6deaa1, 0x4488e37f, 0xfb4ab7db, 0x45f704f7, 0xf9ba1651, 0x43103085, 0xfcdc1342,
    0x48b2b335, 0xf69bf7c9, 0x48b2b335, 0xf69bf7c9, 0x4488e37f, 0xfb4ab7db, 0x4c77a88e, 0xf1fa3ecb,
    0x4b418bbe, 0xf383a3e2, 0x45f704f7, 0xf9ba1651, 0x4fd288dc, 0xed6bf9d1, 0x4da1fab5, 0xf0730342,
    0x475a5c77, 0xf82a6c6a, 0x52beac9f, 0xe8f77acf, 0x4fd288dc, 0xed6bf9d1, 0x48b2b335, 0xf69bf7c9,
    0x553805f2, 0xe4a2eff6, 0x51d1dc80, 0xea70658a, 0x49ffd417, 0xf50ef5de, 0x573b2635, 0xe0745b24,
    0x539eba45, 0xe7821d59, 0x4b418bbe, 0xf383a3e2, 0x58c542c5, 0xdc71898d, 0x553805f2, 0xe4a2eff6,
    0x4c77a88e, 0xf1fa3ecb, 0x59d438e5, 0xd8a00bae, 0x569cc31b, 0xe1d4a2c8, 0x4da1fab5, 0xf0730342,
    0x5a6690ae, 0xd5052d97, 0x57cc15bc, 0xdf18f0ce, 0x4ec05432, 0xeeee2d9d, 0x5a7b7f1a, 0xd1a5ef90,
    0x58c542c5, 0xdc71898d, 0x4fd288dc, 0xed6bf9d1, 0x5a12e720, 0xce86ff2a, 0x5987b08a, 0xd9e01006,
    0x50d86e6d, 0xebeca36c, 0x592d59da, 0xcbacb0bf, 0x5a12e720, 0xd76619b6, 0x51d1dc80, 0xea70658a,
    0x57cc15bc, 0xc91af976, 0x5a6690ae, 0xd5052d97, 0x52beac9f, 0xe8f77acf, 0x55f104dc, 0xc6d569be,
    0x5a82799a, 0xd2bec333, 0x539eba45, 0xe7821d59, 0x539eba45, 0xc4df2862, 0x5a6690ae, 0xd09441bb,
    0x5471e2e6, 0xe61086bc, 0x50d86e6d, 0xc33aee27, 0x5a12e720, 0xce86ff2a, 0x553805f2, 0xe4a2eff6,
    0x4da1fab5, 0xc1eb0209, 0x5987b08a, 0xcc983f70, 0x55f104dc, 0xe3399167, 0x49ffd417, 0xc0f1360b,
    0x58c542c5, 0xcac933ae, 0x569cc31b, 0xe1d4a2c8, 0x45f704f7, 0xc04ee4b8, 0x57cc15bc, 0xc91af976,
    0x573b2635, 0xe0745b24, 0x418d2621, 0xc004ef3f, 0x569cc31b, 0xc78e9a1d, 0x57cc15bc, 0xdf18f0ce,
    0x3cc85709, 0xc013bc39, 0x553805f2, 0xc6250a18, 0x584f7b58, 0xddc29958, 0x37af354c, 0xc07b371e,
    0x539eba45, 0xc4df2862, 0x58c542c5, 0xdc71898d, 0x3248d382, 0xc13ad060, 0x51d1dc80, 0xc3bdbdf6,
    0x592d59da, 0xdb25f566, 0x2c9caf6c, 0xc2517e31, 0x4fd288dc, 0xc2c17d52, 0x5987b08a, 0xd9e01006,
    0x26b2a794, 0xc3bdbdf6, 0x4da1fab5, 0xc1eb0209, 0x59d438e5, 0xd8a00bae, 0x2092f05f, 0xc57d965d,
    0x4b418bbe, 0xc13ad060, 0x5a12e720, 0xd76619b6, 0x1a4608ab, 0xc78e9a1d, 0x48b2b335, 0xc0b15502,
    0x5a43b190, 0xd6326a88, 0x13d4ae08, 0xc9edeb50, 0x45f704f7, 0xc04ee4b8, 0x5a6690ae, 0xd5052d97,
    0x0d47d096, 0xcc983f70, 0x43103085, 0xc013bc39, 0x5a7b7f1a, 0xd3de9156, 0x06a886a0, 0xcf89e3e8,
    0x40000000, 0xc0000000, 0x5a82799a, 0xd2bec333, 0x00000000, 0xd2bec333, 0x3cc85709, 0xc013bc39,
    0x5a7b7f1a, 0xd1a5ef90, 0xf9577960, 0xd6326a88, 0x396b3199, 0xc04ee4b8, 0x5a6690ae, 0xd09441bb,
    0xf2b82f6a, 0xd9e01006, 0x35eaa2c7, 0xc0b15502, 0x5a43b190, 0xcf89e3e8, 0xec2b51f8, 0xddc29958,
    0x3248d382, 0xc13ad060, 0x5a12e720, 0xce86ff2a, 0xe5b9f755, 0xe1d4a2c8, 0x2e88013a, 0xc1eb0209,
    0x59d438e5, 0xcd8bbb6d, 0xdf6d0fa1, 0xe61086bc, 0x2aaa7c7f, 0xc2c17d52, 0x5987b08a, 0xcc983f70,
    0xd94d586c, 0xea70658a, 0x26b2a794, 0xc3bdbdf6, 0x592d59da, 0xcbacb0bf, 0xd3635094, 0xeeee2d9d,
    0x22a2f4f8, 0xc4df2862, 0x58c542c5, 0xcac933ae, 0xcdb72c7e, 0xf383a3e2, 0x1e7de5df, 0xc6250a18,
    0x584f7b58, 0xc9edeb50, 0xc850cab4, 0xf82a6c6a, 0x1a4608ab, 0xc78e9a1d, 0x57cc15bc, 0xc91af976,
    0xc337a8f7, 0xfcdc1342, 0x15fdf758, 0xc91af976, 0x573b2635, 0xc8507ea7, 0xbe72d9df, 0x0192155f,
    0x11a855df, 0xcac933ae, 0x569cc31b, 0xc78e9a1d, 0xba08fb09, 0x0645e9af, 0x0d47d096, 0xcc983f70,
    0x55f104dc, 0xc6d569be, 0xb6002be9, 0x0af10a22, 0x08df1a8c, 0xce86ff2a, 0x553805f2, 0xc6250a18,
    0xb25e054b, 0x0f8cfcbe, 0x0470ebdc, 0xd09441bb, 0x5471e2e6, 0xc57d965d, 0xaf279193, 0x14135c94,
    0x00000000, 0xd2bec333, 0x539eba45, 0xc4df2862, 0xac6145bb, 0x187de2a7, 0xfb8f1424, 0xd5052d97,
    0x52beac9f, 0xc449d892, 0xaa0efb24, 0x1cc66e99, 0xf720e574, 0xd76619b6, 0x51d1dc80, 0xc3bdbdf6,
    0xa833ea44, 0x20e70f32, 0xf2b82f6a, 0xd9e01006, 0x50d86e6d, 0xc33aee27, 0xa6d2a626, 0x24da0a9a,
    0xee57aa21, 0xdc71898d, 0x4fd288dc, 0xc2c17d52, 0xa5ed18e0, 0x2899e64a, 0xea0208a8, 0xdf18f0ce,
    0x4ec05432, 0xc2517e31, 0xa58480e6, 0x2c216eaa, 0xe5b9f755, 0xe1d4a2c8, 0x4da1fab5, 0xc1eb0209,
    0xa5996f52, 0x2f6bbe45, 0xe1821a21, 0xe4a2eff6, 0x4c77a88e, 0xc18e18a7, 0xa62bc71b, 0x32744493,
    0xdd5d0b08, 0xe7821d59, 0x4b418bbe, 0xc13ad060, 0xa73abd3b, 0x3536cc52, 0xd94d586c, 0xea70658a,
    0x49ffd417, 0xc0f1360b, 0xa8c4d9cb, 0x37af8159, 0xd5558381, 0xed6bf9d1, 0x48b2b335, 0xc0b15502,
    0xaac7fa0e, 0x39daf5e8, 0xd177fec6, 0xf0730342, 0x475a5c77, 0xc07b371e, 0xad415361, 0x3bb6276e,
    0xcdb72c7e, 0xf383a3e2, 0x45f704f7, 0xc04ee4b8, 0xb02d7724, 0x3d3e82ae, 0xca155d39, 0xf69bf7c9,
    0x4488e37f, 0xc02c64a6, 0xb3885772, 0x3e71e759, 0xc694ce67, 0xf9ba1651, 0x43103085, 0xc013bc39,
    0xb74d4ccb, 0x3f4eaafe, 0xc337a8f7, 0xfcdc1342, 0x418d2621, 0xc004ef3f, 0xbb771c81, 0x3fd39b5a,
};

/*  for reference, here's the code to generate the bitreverse tables
    short blocks: nbits = 4 (nfft = 64)
    long blocks:  nbits = 7 (nfft = 512)

    static int bitrev(int n, int nbits)
    {
    int r, i;

	r = 0;
    for (i = 0; i < nbits; i++) {
        r <<= 1;
        r |= (n & 1);
        n >>= 1;
    }

    return r;
    }

    static void InitBitrevTable(unsigned char *out, int nbits)
    {
    int i, t;

    for (i = 0; i < (1<<nbits); i++) {
		/ *** do not register the same transposition twice *** /
		t = bitrev(i,nbits);
		if (i < t) {
			out++ = (unsigned char)i;
			out++ = (unsigned char)t;
		}
	}

    / *** no need to write a sentinel (or rather, the first entry in the
	   table for symetric codes will be 0, which serves as the sentinel)
	  *** /
    for (i = 0; i < (1<<nbits); i++) {
		t = bitrev(i,nbits);
		if (i == t)				/ *** symmetric codes get special treatment *** /
			out++ = (unsigned char)t;
	}
     out++ = 0;					/ *** second sentinel is 0, again *** /
    }

*/

/*  code to generate KBD window:
    static double CalcI0(double x)
    {
	int k;
	double i0, iTmp, iLast, x2, xPow, kFact;

	x2 = x / 2.0;
	i0 = 0.0;
	k = 0;
	kFact = 1;
	xPow = 1;
	do {
		iLast = i0;
		iTmp = xPow / kFact;
		i0 += (iTmp*iTmp);
		k++;
		kFact *= k;
		xPow *= x2;
	} while (fabs(i0 - iLast) > KBD_THRESH);

	return i0;
    }

    static double CalcW(double nRef, double n, double a)
    {
	double i0Base, i0Curr, nTemp;

	i0Base = CalcI0(M_PI * a);

	nTemp = (n - nRef/4) / (nRef/4);
	i0Curr = CalcI0( M_PI * a * sqrt(1.0 - nTemp*nTemp) );

	return i0Curr / i0Base;
    }

    void InitKBDWindow(int nmdct)
    {
	int n, nRef;
	double a, wBase, wCurr;

	nRef = nmdct * 2;

	/ *** kbd window *** /
	if (nmdct == 128)
		a = 6.0;
	else
		a = 4.0;

	wBase = 0;
	for (n = 0; n <= nRef/2; n++)
		wBase += CalcW(nRef, n, a);

	/ *** left *** /
	wCurr = 0;
	for (n = 0; n < nRef/2; n++) {
		wCurr += CalcW(nRef, n, a);
		kbdWindowRef[n] = sqrt(wCurr / wBase);
	}

    / ***
	  symmetry:
	   kbd_right(n) = kbd_ldef(N_REF - 1 - n), n = [N_REF/2, N_REF - 1]

	  	wCurr = 0;
	  	for (n = N_REF-1; n >= N_REF/2; n--) {
	  		wCurr += CalcW(N_REF-n-1, a);
	  		kbdWindowRef[n] = sqrt(wCurr / wBase);
	  	}

	 *** /
	return;
    }
*/
#pragma GCC diagnostic pop
